The roots a and b of the quadratic equation x2+kx+12=0 are such that a-b=1. determine k.

Simplifying

x2+kx + - 12=0

Recorder the terms: - 12+kx+x2 = 0

solving: - 12 + kx + x2=0

now solving for variable 'K'

move all the terms containing K to the left, all other terms to the right.

Add '12' to each side of the equation.

-12+12+kx + x2 = 0+12

combine like terms: - 12+12=0

0+kx + x2=0+12

combine like terms: 0+12=12

kx+x2+-1x2 = 12 + - 1x2

combine like terms: x2 + - 1x2=0

kx+0 = 12+-1x2

kx = 12+-1x2

divide each side by 'x'.

k=12x-1 + x

simplifying: K=12x - 1 + - 1x

Anw: K=12x - 1 + - 1x