Question

One root of equation 6x2-x+ k = 0 is 1/2 then
k = ....​

Answer 1

Answer:

if 1/2 is a root of equation 6x² - x + k = 0 then

6 ( 1/2 )²- 1/2 + k = 0

by solving this eq

we get,

k = -1

Answer 2

☘️ Answer:-

$~~~~~~~~~~~~\fbox\pink{k = 1}$

☘️ Solution:-

The given quadratic equation is 6x² - x - k = 0.

Since 2323 is one root of the given quadratic equation

So,

$\sf \twoheadrightarrow \: 6 ( \dfrac{1}{2} ) {}^{2} - \dfrac{1}{2} - k = 0 \\ \\ \sf \twoheadrightarrow \cancel6 {}^{3} \times \frac{1}{ \cancel4 {}^{2} } - \frac{1}{2} - k = 0 \\ \\\sf \twoheadrightarrow \: \: k \: = \frac{3}{2} - \frac{1}{2} = 0 \\ \\ \sf \twoheadrightarrow \:k = \frac{2}{2 } = 1 \\ \\ \\ \ \ \tt\therefore \pink{ The~~value~~of~~k~~is~~1.}$