Find the value of k for which the roots of the following equation are real and equal-:
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The equation has equal and real roots, so the determinant is equal to zero.
b² - 4ac = 0
[(-2(2k-1)]² - 4 (k²) (4) = 0
(-4k + 2)² - 16k² = 0
16k² - 16k + 4 - 16k² = 0
16k = 4
k = 4/16
k = 1/4
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