SOLUTION: Solve 5x^2 − 34x = 0 by factoring. What is the smaller answer? Well I realized that this answer had to be the difference of squares, but no whole number has the square

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve 5x^2 − 34x = 0 by factoring. What is the smaller answer? Well I realized that this answer had to be the difference of squares, but no whole number has the square       Log On


   

Question 356456: Solve
5x^2 − 34x = 0
by factoring.
What is the smaller answer?
Well I realized that this answer had to be the difference of squares, but no whole number has the square root of 34. I would do quadratic, but I don't have a c, please help me, this is greatly appreciated.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2-34x=0
x%285x-34%29=0
Two solutions:
highlight%28x=0%29
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.
.
5x-34=0
5x=34
highlight%28x=34%2F5%29
.
.
.
Also, you do have a c but it's equal to zero.
x+=+%28-%28-34%29+%2B-+sqrt%28+%28-34%29%5E2-4%2A5%2A0+%29%29%2F%282%2A5%29+
x+=+%2834+%2B-+sqrt%28+%28-34%29%5E2+%29%29%2F%2810%29+
x=%2834%2B-34%29%2F10
x%5B1%5D=0 and x%5B2%5D=68%2F10
highlight%28x%5B1%5D=0%29 and highlight%28x%5B2%5D=34%2F5%29
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.
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Remember, the quadratic formula ALWAYS works.