SOLUTION: -6=-6x^2+9x find all values of x satisfying the given condition

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Question 712761: -6=-6x^2+9x find all values of x satisfying the given condition
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-6=-6x%5E2%2B9x+
Divide both sides by +-3+
+2+=+2x%5E2+-+3x+
Subtract +2+ from both sides
+2x%5E2+-+3x+-+2+=+0+
Use the quadratic formula
+x+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+
+a+=+2+
+b+=+-3+
+c+=+-2+
+x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2+-+4%2A2%2A%28-2%29+%29%29+%2F+%282%2A2%29+
+x+=+%28+3+%2B-+sqrt%28+9+%2B+16%29%29+%2F+4+
+x+=+%28+3+%2B-+sqrt%28+25%29%29+%2F+4+
+x+=+%28+3+%2B+5%29+%2F+4+
+x+=+8%2F4+
+x+=+2+
and, taking the negative square root,
+x+=+%28+3+-+5%29+%2F+4+
+x+=+-2%2F4+
+x+=+-1%2F2+
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check answers:
+%28+x+-+2+%29%2A%28+x+%2B+1%2F2+%29+=+0+
+x%5E2+-+2x+%2B+%281%2F2%29%2Ax+-+1+=+0+
+x%5E2+-%283%2F2%29%2Ax+-+1+=+0+
+-x%5E2+%2B+%283%2F2%29%2Ax+=+-1+
Multiply both sides by +6+
+-6x%5E2+%2B+9x+=+-6+
OK