SOLUTION: solve each equation for x 2(x-5)^2=3

Question 99590: solve each equation for x
2(x-5)^2=3
Answer by timmy1729(23) (Show Source): You can put this solution on YOUR website!

I would personally expand the first.
That gives us:

Then multiply by the 2:

Then subtract the 3:

You aren't going to like this, but you have to use the quadratic formula for this one.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=24 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6.22474487139159, 3.77525512860841. Here's your graph:

RELATED QUESTIONS
Solve each equation for x. 2(x-5)^2=3 (answered by checkley75)

solve each equation for x... (answered by vertciel)

solve each equation for y,... (answered by richard1234)

Solve the equation for x.... (answered by checkley75)

solve the equation for x 2(x-5)^2... (answered by malakumar_kos@yahoo.com)

solve each equation. 3(x + 2) - 5(x - 6) (answered by ewatrrr,Hawksfan)

solve each equation. 3(x + 2) = 5(x -... (answered by TimothyLamb)

3 / x^2 - 25 = 1 / x + 5 + 2 / x - 5 Solve the equation for the... (answered by mananth)

LINEAR EQUATIONS A. Solve for the unknown in each equation. 4(x+5) = 6(x - 2) (answered by ankor@dixie-net.com,ikleyn)