Question

For what value of k does the equation x2-12x+k=0 have the real and equal roots?

Answer 1

Step-by-step explanation:

since the roots of the equation are real and equal

follow this

Answer 2

When k=36 the equation x²-12x+k=0 will have real and equal roots

Step-by-step explanation:

Given:

Equation=x²-12x+k=o

The roots are real and equal

To find:

Value of k when roots are real and equal

Solution:

The roots of the equation are real and equal ...................(given)

∴b²-4ac=0...............................(formula)

Here,a=1,b=(-12),c=k

Substituting the values in the formula b²-4ac=0

$(-12^{2}) -4(1)(k)=0\\\\144-4k=0\\\\144=4k$

$\\4k=144\\\\k=144/4\\\\k=36$

∴k=36