Which set of values of z satisfy log (z2 – 6z + 6) = 0?
Which set of values of z satisfy log (z2 – 6z + 6) = 0? Correct Answer 5 and 1
Given, log (z2 – 6z + 6) = 0 ➩ z2 – 6z + 6 = 100 ➩ z2 – 6z + 6 = 1 ➩ z2 – 6z + 5 = 0 ➩ z2 – 5z – 1z + 5 = 0 ➩ z(z – 5) + (- 1) (z – 5) = 0 ➩ Thus, z = 1 and 5 satisfies the equation.
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Feb 20, 2025