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If both (x-2)and (x-1/2) are factors of px^2+5x+r, prove that p= r

Posted by Sonali Singh 3 years, 6 months ago (13126750)

CBSE > Class 09 > Mathematics

2 answers

Sonali Singh 3 years, 4 months ago (13126750)

Thanks a lot 😃😃😃🫂

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Harshita Dashoni 3 years, 6 months ago (13144256)

The given polynomial is Q(r)=px^2+5x+r It is also given that (x-2) and (x-1/2)are the factor of Q(x) which means that Q (2)=0 and Q(1/2) =0 Let us first substitute Q(2)=0 in Q(x)=px^2+5x+r as shown below : =Q(r)=px^2+5x+r =Q(2)=p(2)^2+5(2)+r = 0=p(4)+10+r = 0=4p+10+r =4p+r=-10 ...........(1) Now substitute Q(1/2)=0in Q(x)=px^2+5x+r as shown below: =Q(x)=px^2+5r+r =Q(1/2)=p(1/2)+5(1/2)+r = 0 =p/4+5/2+r = 0 =p+5(2)+r(4)/4 = 0 =p+10+4r = p+4r= -10 ...........(2) Now subtracting the equations (1) and (2) we get = (4p - p) +(r -4r) = -10+10 = 3p - 3r =0 = 3p = 3r = p = r Hence p = r is proved

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Project on hindi sahitya hai ithas

Posted by Dhruv Kumar 3 years, 6 months ago (13121459)

CBSE > Class 10 > हिंदी ए

0 answers

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Posted by Aryan Rao 3 years, 6 months ago (13129652)

CBSE > Class 12 > Economics

1 answers

Khushi Vajpayee 3 years, 2 months ago (13202881)

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Posted by Anmol Soni 3 years, 6 months ago (13008192)

MP Board > Class 10 > Social Science

1 answers

Hiya Jain 3 years, 5 months ago (13197441)

Explain land use pattern in india and why has the land under forest not increased much since 1960-61

4 Thank You

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Posted by Devika Garg 3 years, 6 months ago (13134603)

CBSE > Class 12 > Physical Education

0 answers

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Activity-2: Take a dice and throw it Get the boost and calculate your score. Play with your friend 6x+2=9 4x+3=7 7x+7=9 5x-5=15 53 52 51 50 49 48 47 8x-3=7 45 44 43 42 41 40 3x-1=4 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 7x+1=4 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 4x-2=6 6 5 4 7x+1 =2 3 2 1

Posted by Sakshi Negi 3 years, 6 months ago (13134576)

CBSE > Class 08 > Mathematics

0 answers

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Posted by Ishika Chahat 3 years, 6 months ago (13134572)

CBSE > Class 08 > English

0 answers

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What were the loop adopted by the srilankan government to deal with the diversity

Posted by Puja Bharti 3 years ago (13129053)

CBSE > Class 10 > Social Science

1 answers

Preeti Dabral 3 years ago (2983787)

Both Belgium and Sri Lanka are democracies, yet they have dealt with the problem of regional and linguistic diversity very differently. In Belgium: 1. The leaders recognised the existence of regional differences and cultural diversities. 2. Between 1970 and 1993, they amended their constitution four times so as to work out an arrangement that would enable everyone to live together within the same country. 3. Dutch and French communities have equal representation in the Central government; many of the powers of the central government have been given to the state governments. 4. In addition to these, both language communities have the third kind of Government called Community Government which has power regarding cultural, educational and language-related issues. Whereas, in Sri Lanka: 1. The democratically elected government adopted a series of majoritarian measures to establish Sinhala supremacy. 2. In 1956, an Act was passed to recognize Sinhala as the only official language, thus disregarding Tamil. 3. The Governments followed preferential policies that favoured Sinhala applicants for university positions and government jobs. 4. A new constitution stipulated that the state shall protect and foster Buddhism.

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Slope of a velocity time graph gives a) the distance b) the displacement c) the acceleration d) the speed

Posted by Kamya Arora 3 years, 6 months ago (8539135)

CBSE > Class 09 > Science