22.4k views
1 vote
Which of the following are solutions to the equation below x^2-6x+9=11

Which of the following are solutions to the equation below x^2-6x+9=11-example-1
User Emmychan
by
8.6k points

1 Answer

5 votes

Answer:

C and F

Explanation:

You have to get everything on one side of the equation and then throw it into the quadratic formula. The equation in standard form is


x^2-6x-2=0

Plugging into the quadratic formula gives you this:


x=(6+/-√((-6)^2-4(1)(-2)) )/(2(1))

Simplifying that gives you:


x=(6+/-√(44) )/(2)

The square root of 44 simplifies so we have this:


x=(6+/-2√(11) )/(2)

which then simplifies finally to:


x=3+/-√(11)

So the 2 solutions are


x=3+√(11) and
x=3-√(11)

User Jsduniya
by
7.4k points

No related questions found