SOLUTION: which quadratic equation has the roots 2-radical 3 and 2 + radical 3?

Question 707247: which quadratic equation has the roots 2-radical 3 and 2 + radical 3?

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
which quadratic equation has the roots 2-radical 3 and 2 + radical 3?
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[x-(2-√3)][(x-(2+√3)]=0
FOIL
x^2-(2-√3)x-(2+√3)x+(2-√3)(2+√3)
x^2+(-2+√3-2-√3)x+(4-3)
x^2-4x+1=0
Check with quadratic formula:
a=1, b=-4, c=1
x=[-b�√(b^2-4ac)]/2a
x=[4�√(16-4*1*1)]/2*1
x=[4�√(12)]/2
x=[4�2√(3)]/2
x=2�√3
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