Question

The values of k for which the roots are real and equal of the following equation
$3x^2$ - 5x + 2k = 0 is

k = $\frac{25}{24}$

• A. True
• B. False

Answer 1

The correct option is A True

$3x^2-5x+2k=0$

$\Rightarrow$ Here, $a=3,b=-5,c=2k$

$\Rightarrow$ It is given that roots are real and equal.

$\therefore$ $b^2-4ac=0$

$\Rightarrow$ $(-5{)}^2-4(3\left)\right(2k)=0$

$\Rightarrow$ $25-24k=0$

$\Rightarrow$ $24k=25$

$\therefore$ $k=\frac{25}{24}$