SOLUTION: (3X)squared - 5 = 0

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Question 204551: (3X)squared - 5 = 0
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2+-5+=+0
Use this URl to solve quadratic equations like this : http://www.algebra.com/algebra/homework/quadratic/quadratic.solver
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 3x%5E2%2B0x%2B-5+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%280%29%5E2-4%2A3%2A-5=60.

Discriminant d=60 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-0%2B-sqrt%28+60+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%280%29%2Bsqrt%28+60+%29%29%2F2%5C3+=+1.29099444873581
x%5B2%5D+=+%28-%280%29-sqrt%28+60+%29%29%2F2%5C3+=+-1.29099444873581

Quadratic expression 3x%5E2%2B0x%2B-5 can be factored:
3x%5E2%2B0x%2B-5+=+3%28x-1.29099444873581%29%2A%28x--1.29099444873581%29
Again, the answer is: 1.29099444873581, -1.29099444873581. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B0%2Ax%2B-5+%29