Question

For what values of k, the roots of the equation x2 + 4x + k = 0 are

real and equal?
​

Answer 1

Answer:

Real = x2 + 4x + k

Equal = 0

Answer 2

Answer:

K = 4

Explanation:

let ax^2 +bx + c be quadratic equation

let x be the roots of given quadratic equation

Sum of roots(zeroes) = -b/a = -4/1 = -4

=> x + x = -4

=> 2x = -4 => x = -2

prodcts of roots(zeroes) = c/a = k/1 = k

=> x^2 = k

=> (-2)^2 = k

=> k = 4

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