SOLUTION: (5x+4)^2=100

Question 188517: (5x+4)^2=100
Found 2 solutions by jim_thompson5910, feliz1965:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Take the square root of both sides.

or Break up the "plus/minus" to form two equations.

or Take the square root of to get .

or Subtract from both sides.

or Combine like terms.

or Divide both sides by to isolate .

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Answer:

So the solutions are or .

Answer by feliz1965(151) (Show Source): You can put this solution on YOUR website!
I will set it up and you can take it from there.
(5x + 4)^2 = (5x + 4)(5x + 4)
(5x + 4)(5x + 4) becomes 25x^2 + 40x + 16 using FOIL.
We now equate to 100.
25x^2 + 40x + 16 = 100
Subtract 100 from both sides of the equation to make a quadratic equation.
25x^2 + 40x + 16 - 100 = 0
25x^2 + 40x + 84 = 0
Can you take it from there?

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