SOLUTION: What are the roots in the equation 5x^2=x?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What are the roots in the equation 5x^2=x?      Log On


   



Question 435973: What are the roots in the equation 5x^2=x?
Found 2 solutions by robertb, Gogonati:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2+-+x+=+x%285x-1%29+=+0 ==> x = 0, 1/5.

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
To find the roots set the equation to zero: 5x%5E2-x=0, and solve the quadratic equation:
x%285x-1%29=0, this product is zero if x=0 or 5x-1=0 => x=1/5.
Answer:The roots of this equation are: x=0 and x=1/5.