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If-5 is root of quadratic equation …

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If-5 is root of quadratic equation 2x^2+2px-15=0and the quadratic equation   p(x^2+x)+k=0has equal roots .find the value of k

 

  • 1 answers

Naveen Sharma 7 years, 3 months ago

as -5 is root of equation 2x2+2px-15=0

then it ll satisfy this equation, Put x = -1

2(-5)2 + 2p(-5) - 15 = 0

=> 50 - 10p -15 = 0

=> 35 = 10p

p = 3.5

And it is given that eq. p(x2+x) + k = 0 have equal roots.

px2+px + k = 0

3.5x2+3.5x + k = 0

a = 3.5, b = 3.5, c = k

so d = 0

(3.5)2 - 4 (3.5)k = 0

=> 14 k = 12.25

k = 3.0625

 

 

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