Question

TWhich equation has the same solution as this equation. X^2 - 8x + 12 = 0

Answer 1

x² - 8x + 12 = 0

First of all we need to find the roots

Δ = b² - 4.a.c

Δ = (-8)² - 4 . 1 . 12

Δ = 64 - 4. 1 . 12

Δ = 16

Has 2 real roots

x = (-b +- √Δ)/2a

 

x' = (--8 + √16)/2.1    

x'' = (--8 - √16)/2.1

x' = 12 / 2    

x'' = 4 / 2

x' = 6    

x'' = 2

So our equation can be solved with x = 6 and x = 2, therefore we can create two other equations with the same roots

x - 6 = 0

and

x - 2 = 0