Question

question answers of the chapter 8 of rd sharma of class 10find the values of K for which the roots are real and equal in each of the following 4 x square - 2 into a k + 1 ​

Answer 1

Answer:

The required values of k are 2 and -2

Step-by-step explanation:

Concept used:

The conditiion for the roots of the equation $ax^2+bx+c=0$ to be equal is $b^2-4ac=0$

$4x^2-2kx+1=0$

Here, a=4, b=-2k, c=1

since the roots of the equation are real and equal, $b^2-4ac=0$

$\implies\:(-2k)^2-4(4)(1)=0$

$\implies\:4k^2-16=0$

$\implies\:4k^2=16$

$\implies\:k^2=4$

$\implies\:k=2,-2$