Question

Find the value (s) of k for which each of the following quadratic equation has equal roots: (k – 4) x² + 2(k – 4) x + 4 = 0 *

Answer 1

Answer:

12

Step-by-step explanation:

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Answer 2

(k-4)x²+2(k-4)x+2=0

IF BOTH THE ROOTS ARE EQUAL;THEN DISCRIMINANT ⇒b²=4ac

then a=k-4; b=2(k-4) ;c=2; substituting the values

(2k-8)²=4×(k-4)×2

4k²+64-32k=8k-32

4k²-40k+96=0

k²-10k+24=0

(k-4)(k-6)=0

k=4,6

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