Values of k for which the quadratic equation 2x² - kx + k = 0 has equal roots is
a. 0 only
b. 4
c. 8 only
d. 0, 8

Solution:

Given, the equation is 2x² - kx + k = 0

We have to find the values of k for which the equation has equal roots.

A quadratic equation ax² + bx + c = 0 has equal roots when the discriminant of the equation is zero.

Discriminant = b² - 4ac

Here, a = 2, b = -k and c = k

(-k)² - 4(2)(k) = 0

k² - 8k = 0

k(k - 8) = 0

k = 0

k - 8 = 0

k = 8

Therefore, the roots of the equation are 0 and 8.

✦ Try This: Values of k for which the quadratic equation x² - 2kx + k = 0 has equal roots is

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4

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NCERT Exemplar Class 10 Maths Exercise 4.1 Problem 6

Values of k for which the quadratic equation 2x² - kx + k = 0 has equal roots is, a. 0 only, b. 4, c. 8 only, d. 0, 8

Summary:

Values of k for which the quadratic equation 2x² - kx + k = 0 has equal roots is 0 and 8.

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