Solve. (x-20)^2=12
Is it 2√3+20,-2√3+20?
Is it 2√3+20,-2√3+20?
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Well, the answers work... (plug them back into the equation)
(2√3+20 - 20)^2 = (2√3)^2 = 12
(-2√3+20 - 20)^2 =(-2√3)^2 = 12
Or you can do it the long way
(x-20)^2 - 12 = 0
==> x^2 -40 +388 = 0
apply quadratic formula
x = 20 +/- 2√3
Same answer!
(2√3+20 - 20)^2 = (2√3)^2 = 12
(-2√3+20 - 20)^2 =(-2√3)^2 = 12
Or you can do it the long way
(x-20)^2 - 12 = 0
==> x^2 -40 +388 = 0
apply quadratic formula
x = 20 +/- 2√3
Same answer!
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√(x-20)²=√12 -->get the square root of both sides to eliminate exponent 2
x-20= √(4*3)
x = 20 + 2√3
x-20= √(4*3)
x = 20 + 2√3
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x^2-20^2=12
x^2-400=12
x^2=412
x=20.297783
x^2-400=12
x^2=412
x=20.297783