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  • 1 answers

Aarush Gupta 3 years, 7 months ago

Otto von bismarck
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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

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 ​
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Preeti Dabral 3 years ago

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

Letter to god ' ' ' Money ' ' ' Tension khtam ' ' ' Happy ending
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Saras Birthare 3 years, 7 months ago

United States and Switzerland, then France
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Shanu Sagar 3 years, 7 months ago


tag is used to insert a line break which means the text/image following the tag will be moved to the next line while <hr> tag is used to insert horizontal line that can divide the information into sections.
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Sanju Rana 2 years, 10 months ago

editing errors
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Preeti Dabral 3 years ago

The Mayor is the political head of the Municipal Corporation. He acts as the city bureaucrat who is generally a state-appointed officer. He is usually chosen through direct vote for a term of 5 years. He is the first citizen of the city. The functions of a Mayor are

  1. He acts as the Chairperson of the Municipal Corporation.
  2. He presides over the meetings of the corporation and regulates the meetings.
  3. The Mayor generally lacks executive authority. The Municipal Commissioner is the Chief Executive Officer and all executive powers are vested in the Municipal Commissioner. Mayor is the proper channel of communication between the Commissioner and the State Government.
  4. He is responsible for hiring and firing staff and for implementing legislation passed by the council.
  5. He is responsible for ceremonial duties and some cities may give the mayor legislative powers as well.
  6. The tenure of the mayor is five years.
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Ganeah Das 3 years, 7 months ago

What is imaniafaction?how does it help in tha process of digestion

Ganeah Das 3 years, 7 months ago

What is gasetro intestinal treck? Name the asouiate organ with a proper diagram
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Parneet Kaur 3 years, 7 months ago

Project work on social issues
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Aditya Ansh 3 years, 7 months ago

Lencho have only hope that was his good harvesting in field. but on that night due to rain the good harvest will convert in bad harvest. Lencho told that A good harvesting is my only one hope for surviving in this year.
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Preeti Dabral 3 years ago

Qualitative aspect of water scarcity refers to scarcity of potable in the areas having sufficient usable water.
For instance, in an area where water is sufficiently available to meet the needs of the people, but the area still suffers from water scarcity. This scarcity may be due to bad quality of water. Lately, there has been a growing concern that even if there is ample water to meet the needs of the people, much of it may be polluted by domestic and industrial wastes, chemicals, pesticides and fertilizers used in agriculture, thus, making it hazardous for human use.

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