Question

what is the value of k if the roots are x²+2x+k=0 are real and equal
(1) 1
(2) -1
(3) 2
(4) -2​

Answer 1

Answer:

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Step-by-step explanation:

-2 is right answer

Answer 2

If the roots are equal then b^2 - 4ac = 0

Here in the equation x² + 2x + k = 0

a = 1, b = 2 and c = k

According to the formula,

b^2 - 4ac = 0

or, 2^2 - 4(1)(k) = 0

or, 4 - 4k = 0

or, -4k = -4

or, k = -4/-4

or, k = 1

Answer:

The value of k is 1. Hence the option (1) 1 is the correct option.