Manny wants to cover the windows in his home with either wood blinds or curtains. He has 35 windows that he would like to cover,
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Answers and Step-by-step explanations:
9. Subtract root x from both sides:
Square both sides: x + 12 = 36 - 12 + x
Subtract x and 36 from both sides: -24 = -12
Divide both sides by -12: 2 =
Square both sides again: x = 4
10. Switch the places of the two root expressions:
Square both sides: 4x - 1 = 1 - 4 + 4x
Subtract 4x and 1 from both sides: -2 = -4
Divide by -4 from both sides: 1/2 =
Square both sides again: x = 1/4
11. Square both sides: 4x^2 = 4x - 1
Move all the terms to one side: 4x^2 - 4x + 1 = 0
Factorize: (2x - 1)(2x - 1) = 0 ⇒ x = 1/2
12. Square both sides: 4x - 1 = 4 - 8x + 4x^2
Move all the terms to one side: 4x^2 - 12x + 5 = 0
(2x - 5)(2x - 1) = 0 ⇒ x = 5/2 or x = 1/2
Hope this helps!
Answer:
Step-by-step explanation:
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Answer:
Step-by-step explanation:
- distribute the negative sign to the parenthesis
- combine like terms
- subtract
from both sides
- divide both sides by