SOLUTION: Solve for x: 5(x – 2^)2 = 3

Algebra.Com
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
Expand

Distribute

Subtract

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 ,

RELATED QUESTIONS

solve for x:... (answered by jojo14344)
Solve for x:... (answered by checkley71)
Solve for (x + 5)^2 =... (answered by ankor@dixie-net.com)
solve for x:... (answered by olayinka003)
Solve for x : 1+ 3x/(x+5)(x-2) = 2/(x-5) +... (answered by jim_thompson5910)
Solve for x: ((3-x) / (x-5)) - ((2x^2 / (x^2-3x-10)) = 2 /... (answered by josgarithmetic)
Solve each equation for x. 2(x-5)^2=3 (answered by checkley75)
solve each equation for x... (answered by vertciel)
Solve the equation for x.... (answered by checkley75)
solve the equation for x 2(x-5)^2... (answered by malakumar_kos@yahoo.com)