SOLUTION: How do I solve the quadratic equation 36x squared minus 25=0? I tried using the quadratic formula and factoring, but can't get an answer that's right.

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Question 982217: How do I solve the quadratic equation 36x squared minus 25=0? I tried using the quadratic formula and factoring, but can't get an answer that's right.
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
Difference of two squares:

Take square root of 1st term plus square root of 2nd term:
6x+5
Multiply by square root of 1st term minus square root of 2nd term:




x=plus or minus (0.8333)
.
However, the quadratic formula does work:
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=3600 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.833333333333333, -0.833333333333333. Here's your graph:

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