Question

Q28. 1f-5 is a root of quadratic equation 2 x² + x - 15 =0 and the quadratic equation
ku
P/X²+ X) + K =0 has equal roots, find the value of k.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

K= 7/4

Step-by-step explanation:

Since −5 is a root of the equation 2x²+ 2+px−15=0. Therefore,

2(−5)²−5p−15=0⇒p=7

Putting p=7 in p(x²+x)+k=0 we get

7x²+7x+k=0

Here ,a=7,b=7;c=k

This equation will have equal roots, if

Discriminant =b²−4ac=0 ⇒49−4×7×k=0⇒k=49/28⇒k= 7/4

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