How do you solve the equation 3(x-3)^2+2=26?

1 Answer
Alan P.
Sep 26, 2017

x=3+-2sqrt(2)

Explanation:

3(x-3)^2=26

rarr 3(x-3)^2=24

rarr (x-3)^2=8

rarr x^2-6x+9=8

rarr x^2-6x+1=0

Applying the quadratic formula
color(white)("XXX")x=(-(-6)+-sqrt((-6)^2-4(1)(1)))/(2(1))

color(white)("XxXX")=(6+-sqrt(32))/2

color(white)("XxXX")=(6+-4sqrt(2))/2

color(white)("XxXX")=3+-2sqrt(2)

Related questions
See all questions in Use Square Roots to Solve Quadratic Equations
Impact of this question
4065 views around the world
You can reuse this answer
Creative Commons License