Question

find the value of k for which the quadratic equation K - 2 X square + 2 into 2 k - 3 x + 5 k - 6 is equal to zero has equal roots

Answer 1

k-2x²+2(2k-3x+5k-6)

k-2x²+4k-6x+10k-12

-2x²+9k-12=0

For equal roots

b²-4ac=0

(9k)²-4(-2)(-12)=0

81k²-96=0

k²=96\81

k=√96\81

k=√96÷9

k=4√6\9

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