Question

If -2 is a root of the quadratic equation x2-px-5=0 and the quadratic equation x2+px+k=0 has equal roots find the value of k

Answer 1

Answer:

1/16

Step-by-step explanation:

Answer 2

Answer:

k = 1/16

Step-by-step explanation:

x²- px - 5 , Given x = -2 is a root,

:. (-2)² - p * (-2) - 5 =0

=> p = ½

Now, in equation x² + px + k =0

Put p=½, => x² + ½x + k = 0

Given it has equal Roots, :. D = 0

Or, b²-4ac = 0 => (½)² - 4 × 1 × k = 0

Solving you will get k= 1/16