Question

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

Answer 1

Answer:

k = 0  then x = 0

k =8   then x = 2

Step-by-step explanation:

2x² -kx + k = 0

yo have equal roots

(-k)² - 4(2)(k) = 0

k² - 8k = 0

k (k-8) = 0

so k = 0  or  8

case 1 k = 0

2x² - 0 + 0 = 0

x = 0

case 2  k = 8

2x² -8x + 8 = 0

2x² -4x -4x + 8 = 0

2x(x-2) -4(x-2) = 0

(2x-4)(x-2) = 0

2(x-2)(x-2) = 0

dividing by 2

(x-2)(x-2) = 0

(x-2)² = 0

x = 2

Answer 2

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