Question

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​

Answer 1

QUESTION:

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

TO FIND :

VALUE OF K.

GIVEN :

Quadratic equation has equal roots.

So,

discriminant = 0.

$(as \: it \: has \: equal \: roots)$

${b}^{2} - 4ac = 0$

in the given quadratic equation :

$a = 2 \\ b = - k \\ c = k$

now,

$( { - k})^{2} - 4 \times 2 \times k = 0 \\ {k}^{2} - 8k = 0 \\ (taking \: k \: common) \\ k(k - 8) = 0$

NOW,

Either

$\huge\red{k = 0}$

or

$\huge\red{k- 8 = 0 \\ k = 8}$

FINAL ANSWER :

YOUR ANSWER IS OPTION D.

PLZ MARK AS BRAINLIEST

Answer 2

Answer:

d is the answer of your questions