Question

If x = -5 is a root of the quadratic equation 2x²-px+15 =0 and the quadratic equation p(x²+x) +k=0 has equal roots, then fnd the value of p and k.
please solve it urgent​

Answer 1

Answer:

Solution

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Since −5 is a root of the equation 2x2+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=2849⇒k=47