SOLUTION: Solve for x: 5(x � 2^)2 = 3

Question 683900: Solve for x: 5(x � 2^)2 = 3
Answer by jerryguo41(197) (Show Source): You can put this solution on YOUR website!
5(x�2)^2=3
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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=60 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.77459666924148, 1.22540333075852. Here's your graph:

Simplify

==>

Thus
x= or ,
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