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If 1/2 is a root of the equation x²+ kx – (5/4) = 0 then the value of k is

Answer» ONG>ANSWER:

\boxed{k=2}

Step-by-step EXPLANATION:

given \ quadratic \ equation,\\ x^2+kx-\frac{5}{4}=0 \\\\ \frac{1}{2} \ is \ a \ root \ of \ the \ equation. \\\\ put \ x=\frac{1}{2} \\\\ => (\frac{1}{2})^2+k(\frac{1}{2})-\frac{5}{4}=0 \\\\ =>\frac{1}{4}+\frac{k}{2}=\frac{5}{4} \\\\ => \frac{k}{2}=\frac{5}{4}-\frac{1}{4} \\\\ => \frac{k}{2}=\frac{4}{4} \\\\ => \frac{k}{2}=1 \\\\ =>k=2


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