Question

If x=1/2 is root of the equation x^2+kx-5/4=0, then find the value of k.​

Answer 1

Step-by-step explanation:

लिखावट थोड़ी खराब है।

लेकिन हल सही है।

Answer 2

Answer:

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Step-by-step explanation:

The value of K is 2.1

To find the value of K the first thing to be done is to observe the quadratic equation given and then substitute the value of the X and equate it to zero then the value of K will be found.

Let z be the root of the equation F(X), then F(Z) = 0. Similarly, when we substitute  in the given equation x² + kx - $\frac{8}{4\\}$ = 0 which results the value should be zero.

$(\frac{1}{2})^{2} + K(\frac{1}{2}) - \frac{5}{4} = 0$

$\frac{1}{4} + \frac{K}{2} - \frac{5}{4} = 0$

$1 + 2K - 5 = 0 \\K = 2.1$