Question

`{x}^(2) - 5x = - 6`
​

Answer 1

the roots: x=2 x=3

Explanation:

x²-5x=-6

x²-5x+6=0

x=(5+-sqrt((-5)²-4×1×6))/2×1

x=(5+-sqrt(25-24))/2

x=(5+-sqrt(1))/2

x=(5-1)/12 x=(5+1)/2

x=4/2 x=6/2

x=2 x=3

Answer 2

Explanation:

Given

x² - 5x = - 6

x² - 5x + 6 = 0

x² - ( 2 + 3) x + 6 = 0

x² - 2x - 3x + 6 = 0

x( x - 2) - 3 ( x - 20 = 0

( x - 2) ( x- 3) = 0

Either or

x - 2 = 0 x - 3 = 0

x = 2 x = 3

hope it helps :)