Question 84482: Solve. (x + 3)^2 = 3
I came up with 5+-SQRT3
Did I just maybe get it right? Found 2 solutions by checkley75, rapaljer:Answer by checkley75(3666) (Show Source):
You can put this solution on YOUR website! I'M AFRAID NOT!!!
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(X+3)^2=3
X^2+6X+9=3
X^2+6X+9-3=0
X^2+6X+6=0
USING THE QUDRATIC EQUATION:
X=(-6+-SQRT[6^2-4*6*1])/2*1
X=(-6+-SQRT[36-24])/2
X=(-6+-SQRT12)/2
X=(-6+-3.464)/2
X=(-6+3.464)/2
X=-2.536/2
X=-1.27 ANSWER.
X=(-6-3.464)/2
X=-9.464/2
X=-4.73 ANSWER.
PROOF
(-1.27+3)^2=3
1.73^2=3
3=3
(-4.73+3)^2=3
-1.73^2=3
3=3
You can put this solution on YOUR website! This problem would have been a LOT easier to solve if, instead of using the quadratic formula as Checkley suggested you do, you just take the square root of each side:
Now, just subtract 3 from each side:
You were ALMOST correct!! Never mind Checkley's chiding!!
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