7. Find the value of K if the equation x2-2(k+1)x + kz = 0 has equal roots.
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it is 10 class question of chater quadratic equation
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Step-by-step explanation:
We know, if there is equal roots then, b^2 = 4az
Now, x^2-(2k+2)x + kz = 0
=> x^2 - (2k + 2 ) + kz = 0
so, a=1,b= -2k-2, z= k
now, (-2k-2)^2 = 4*1*k
=> 4k^2 + 4 + 8k = 4k
=> 4k^2 + 4 + 8k - 4k = 0
=> 4k^2 + 4 +4k = 0
=> 4 ( k^2 + 1 + k) = 0
=> k^2 + 1 + k = 0
Now, solve this equation to get your answer.
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