SOLUTION: How do I solve this by using the square root property? 4x^2 - 28x + 49 = 5
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Question 417839: How do I solve this by using the square root property? 4x^2 - 28x + 49 = 5
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Solving equations this way involves the following steps:- Gather the variable terms on one side of the equation.
- Make a perfect square out the side of the equation with the variables.
- Find the square root of each side of the equation. This results in two equations! One for the positive square root and one for the negative square root.)
- Solve the remaining equations.
Let's see how this works:
1) Gather...
The variable terms are already just on the left side of the equation.
2) Make a perfect square...
The left side, where the variable terms are, is already a perfect square! It fits the pattern for
with the "a" being 2x and the "b" being 7. So we can rewrite the left side as a perfect square:
3) Find the square root of each side.
which simplifies to:
which becomes:
or
4) Solve the equations.
Adding 7 to each side:
or
Dividing by 2:
or
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