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find the value of k for which the quadratic equation 2x^2+kx+2=0 has equal roots

Posted by Sujit Singh 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 1 month ago

The values of k = 4.

Given:

Quadratic equation has equal roots.

To find:

The values of k

Explanation:

General format of quadratic equation is .

If the roots of quadratic equation is equal then,

Where,

a = coefficient of x²

b = coefficient of x

c = constant term.

b² - 4ac =0

Comparing the quadratic equation

b = k a=2 c=2

k² - 4×2×2 = 0

k² = 16

k =

k = 4

Therefore, the values of k = 4 if roots are equal.

2Thank You

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