Question

What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve.

x = –11 and x = –18

Answer 1

it is a quadratic

where x-8 is the squared term

do

x-8=u

u^2-13u+30=0

solve

u=

u=

u=

u=

u=

u= or u=

u=10 or 3

10=x-8 or 3=x-8

18=x or 11=x

x=11 and/or 18

Explanation: