If quadratic equation x2 + px + k = 0 has equal roots and –4 is

1.	If quadratic equation x2 + px + k = 0 has equal roots and –4 is a root of the quadratic equation x2 + px -4 = 0 , then the value of k is1. 3/22. -3/23. -9/44. 9/4
Answer» 4. 9/4 x² + px - 4 = 0 α + β = -p αβ = -4 β = -4 ⇒ α = 1 ∴ p = 1 - 4 p = 3 x²+ px + k has equal roots p²- 4k = 0 p²= 4k k = 9/4

If quadratic equation x2 + px + k = 0 has equal roots and –4 is a root of the quadratic equation x2 + px -4 = 0 , then the value of k is1. 3/22. -3/23. -9/44. 9/4

Answer»

4. 9/4

x² + px - 4 = 0

α + β = -p

αβ = -4

β = -4 ⇒ α = 1

∴ p = 1 - 4

p = 3

x²+ px + k has equal roots

p²- 4k = 0

p²= 4k

k = 9/4

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If quadratic equation x2 + px + k = 0 has equal roots and –4 is a root of the quadratic equation x2 + px -4 = 0 , then the value of k is1. 3/22. -3/23. -9/44. 9/4

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