SOLUTION: If 4xsquared - 100 = 0 what are the roots of the equation

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If 4xsquared - 100 = 0 what are the roots of the equation      Log On


   

Question 1070156: If 4xsquared - 100 = 0 what are the roots of the equation
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Difference of two squares,
4x%5E2-100=%284x-10%29%284x%2B10%29=2%282x-5%29%2A2%282x%2B5%29=4%282x-5%29%282x%2B5%29
.
.
.
2x-5=0
2x=5
x=5%2F2
.
.
.
2x%2B5=0
2x=-5
x=-5%2F2

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
If 4xsquared - 100 = 0 what are the roots of the equation
4x%5E2+-+100+=+0

4%28x%5E2+-+25%29+=+4%280%29 ------ Factoring out GCF, 4

x%5E2+-+25+=+0

(x - 5)(x + 5) = 0 ------ Factoring DOTS

x - 5 = 0       OR      x + 5 = 0 

Roots: highlight_green%28matrix%282%2C3%2C+x%2C+%22=%22%2C+5%2C+x%2C+%22=%22%2C+-+5%29%29

FYI: The roots CANNOT be matrix%281%2C3%2C+-+5%2F2%2C+or%2C+5%2F2%29, so let no-one tell you that!