Question

If −5 is a root of the quadratic equation 2 2 + = 15 and the quadratic equation ( 2 + ) + = 0 has equal roots, find the value of k.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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,D = b² −4ac=0

49−4×7×k=0

k = 49/28 = 7/4