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  • 2 answers

❖Mʀ᭄ ℟ᴜđʀ₳★ᶠᶠ 3 years, 7 months ago (9027544)

We have, Polynomial 25p2−15p+2 On comparing that, Ap2+Bp+C Then, A=25,B=−15,C=2 Given that, Sum of roots =α+β=A−B​ α+β=2515​ α+β=53​ Product of roots α.β=AC​ α.β=252​ Now, 2α1​and2β1​ Then, Sum of roots 2α1​+2β1​=4αβ2α+2β​ =24αβ(α+β)​ =2αβ(α+β)​=252×2​53​​=53​×425​=415​ 2α1​+2β1​=415​ Product of roots =2α1​×2β1​=4αβ1​=254×2​1​ =825​ So, the equation of polynomial is p2−(Sumofroots)p+productofroots ⇒p2−415​p+825​ ⇒88p2−30p+25​ Hence, this is the answer. Was this answer helpful? 131 2 SIMILAR QUESTIONS If α and β are the zeroes of the quadratic polynomial f(x)=2x2−5x+7, then find a quadratic polynomial whose zeroes are 2α+3β and 2α+3β. Hard View solution > If α and β are the zeros of the polynomial x2+4x+3, find the polynomial where zeros are 1+αβ​ and 1+βα​. We have, Polynomial 25p2−15p+2 On comparing that, Ap2+Bp+C Then, A=25,B=−15,C=2 Given that, Sum of roots =α+β=A−B​ α+β=2515​ α+β=53​ Product of roots α.β=AC​ α.β=252​ Now, 2α1​and2β1​ Then, Sum of roots 2α1​+2β1​=4αβ2α+2β​ =24αβ(α+β)​ =2αβ(α+β)​=252×2​53​​=53​×425​=415​ 2α1​+2β1​=415​ Product of roots =2α1​×2β1​=4αβ1​=254×2​1​ =825​ So, the equation of polynomial is p2−(Sumofroots)p+productofroots ⇒p2−415​p+825​ ⇒88p2−30p+25​ Hence, this is the answer. Was this answer helpful?

Keshav Kumar 3 years, 7 months ago (12296392)

We have, Polynomial 25p 2 −15p+2 On comparing that, Ap 2 +Bp+C Then, A=25,B=−15,C=2 Given that, Sum of roots =α+β= A −B ​ α+β= 25 15 ​ α+β= 5 3 ​ Product of roots α.β= A C ​ α.β= 25 2 ​ Now, 2α 1 ​ and 2β 1 ​ Then, Sum of roots 2α 1 ​ + 2β 1 ​ = 4αβ 2α+2β ​ =2 4αβ (α+β) ​ = 2αβ (α+β) ​ = 25 2×2 ​ 5 3 ​ ​ = 5 3 ​ × 4 25 ​ = 4 15 ​ 2α 1 ​ + 2β 1 ​ = 4 15 ​ Product of roots = 2α 1 ​ × 2β 1 ​ = 4αβ 1 ​ = 25 4×2 ​ 1 ​ = 8 25 ​ So, the equation of polynomial is p 2 −(Sumofroots)p+productofroots ⇒p 2 − 4 15 ​ p+ 8 25 ​ ⇒ 8 8p 2 −30p+25 ​
  • 1 answers

Preeti Dabral 3 years ago (2983787)

Productivity here means human labour is productivity or productivity in terms of human work. Such productivity must be constantly enriched by building capabilities in people. This is because it is people who are the real wealth of nations. Therefore, efforts to increase their knowledge, provide better health facilities, balanced diet and high literacy rates ultimately lead to better work efficiency.
Empowerment means to have the power to make choices. Such power comes from increasing freedom and capability. Good governance and people oriented policies are required to empower people.

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Preeti Dabral 3 years ago (2983787)

A customs union known as Wolverine was formed at the initiative of Prussia and joined by most of the German states. This union removed internal impediments and summed up 32 currencies into two. Besides this, it the aim of the union is to bind the Germans economically into a nation by strengthening the nation materially through its protection of interests externally and stimulating its internal productivity. It must be awakened and national sentiments should be raised through a fusion of individual and state interests.

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Hhh Jjnn 3 years, 6 months ago (13089069)

Letter to god ' ' ' Money ' ' ' Tension khtam ' ' ' Happy ending
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Kanishka 59 3 years, 4 months ago (13342596)

Vigyan ki book ke Koyla aur petroleum wala chapter 5 ki photo bhej do

Priyani Das 3 years, 7 months ago (11051580)

It is a tool used for removing weeds and loosening the soil.
  • 2 answers

Ashish Jha 3 years ago (13794738)

Yes

Faiz Faridi 3 years, 7 months ago (13094658)

An economic problem generally means the problem of making choices that occurs because of the scarcity of resources. It arises because people have unlimited desires but the means to satisfy that desire is limited. Therefore, satisfying all human needs is difficult with limited means.
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Harshit Bisht 3 years, 7 months ago (9909113)

The motherboard is the backbone that ties the computer's components together at one spot and allows them to talk to each other. Without it, none of the computer pieces, such as the CPU, GPU, or hard drive, could interact. Total motherboard functionality is necessary for a computer to work well.
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Parinita Insa 3 years, 7 months ago (13076169)

Please go now. My father is waiting for me.
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Vaishnavi Vaishu 3 years, 4 months ago (11615013)

It's correct thankyou

Harshita S Mutkekar 3 years, 7 months ago (12921581)

horticulturist
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Ritesh Singh 3 years, 5 months ago (12236240)

Yes

Chikku Raj 3 years, 7 months ago (13111816)

Linner inequalities important questions
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Saras Birthare 3 years, 7 months ago (12943053)

United States and Switzerland, then France
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Preeti Dabral 3 years ago (2983787)

Differences between Parliamentary and Presidential forms of Government:

Parliamentary Form of Government Presidential Form of Government
In Parliamentary form of government, the parliament or central legislature is supreme. In the Presidential form of government, the President is a real executive and he is the most powerful official of the country.
The parliamentary system of the government is based on the principles of collective leadership. The Council of Ministers, having Prime Minister. Its head is responsible to the Parliament President is the head of the state. Generally, he or she is elected directly, therefore, he is not responsible to the Congress or the Parliament in general.
The head of the government is usually known as the Prime Minister. President is also the head of the government.
The Prime Minister is the leader of the majority party (or of the group of the several political parties). The President is generally directly elected by the people.
He is accountable to the legislature. He is not accountable to the legislature.
  • 1 answers

Lakshya Garg?? 3 years, 7 months ago (10137967)

A object oriented platform independent programming language
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Mishika Pandey 3 years, 2 months ago (9540567)

We see jugaad mostly in Gujarat
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Shanu Sagar 3 years, 7 months ago (13040117)


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