Question

If 1/2 is a root of equation x2+kx-5/4=0, then find the value of k

Answer 1

2 this is the answer of your queston

Answer 2

If 1/2 is root of equation $x^{2}+k x-\left(\frac{5}{4}\right)=0$ then value of k is 2

Solution:

Given that 1/2 is root of equation $x^{2}+k x-\left(\frac{5}{4}\right)=0$

We are asked to find the value of k

Since 1/2 is a root of given equation, it must satisfy the equation

Substitute x = 1/2 in given equation

$\left(\frac{1}{2}\right)^{2}+\mathrm{k}\left(\frac{1}{2}\right)-\left(\frac{5}{4}\right)=0$

On solving we get,

$\left(\frac{1}{4}\right)+\mathrm{k}\left(\frac{1}{2}\right)-\left(\frac{5}{4}\right)=0$

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

On simplification,

$\begin{array}{l}{1+2 k-5=0} \\\\ {2 k-4=0} \\\\ {2 k=4} \\\\ {k=4 \div 2=2}\end{array}$

Hence , the value of k is 2

Learn more about quadratic equation

If 1+√2 is a root of quadratic equation with rational coefficients, write its other root.

https://brainly.in/question/7085482

If 1/2 is a root of the equation x2 + kx – 3= 0, then the value of k is

https://brainly.in/question/7140292