Question

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

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

2x^2+px-15=0

keeping -5 as value of x and solving, we get ,

p=7,

putting p=7 in equation p (x^2+x)+k, we get,7x^2+7x+k

as the equation has equal roots,

b^2-4ac=0

here,

7^2-(4×7×k)=0

49-28k=0

-28k=-49

k=-49/-28

so,

k=7/4