SOLUTION: 2xsq-12x+10=0

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Question 601460: 2xsq-12x+10=0
Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E2-12x%2B10=0 Start with the given equation.


Notice that the quadratic 2x%5E2-12x%2B10 is in the form of Ax%5E2%2BBx%2BC where A=2, B=-12, and C=10


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28-%28-12%29+%2B-+sqrt%28+%28-12%29%5E2-4%282%29%2810%29+%29%29%2F%282%282%29%29 Plug in A=2, B=-12, and C=10


x+=+%2812+%2B-+sqrt%28+%28-12%29%5E2-4%282%29%2810%29+%29%29%2F%282%282%29%29 Negate -12 to get 12.


x+=+%2812+%2B-+sqrt%28+144-4%282%29%2810%29+%29%29%2F%282%282%29%29 Square -12 to get 144.


x+=+%2812+%2B-+sqrt%28+144-80+%29%29%2F%282%282%29%29 Multiply 4%282%29%2810%29 to get 80


x+=+%2812+%2B-+sqrt%28+64+%29%29%2F%282%282%29%29 Subtract 80 from 144 to get 64


x+=+%2812+%2B-+sqrt%28+64+%29%29%2F%284%29 Multiply 2 and 2 to get 4.


x+=+%2812+%2B-+8%29%2F%284%29 Take the square root of 64 to get 8.


x+=+%2812+%2B+8%29%2F%284%29 or x+=+%2812+-+8%29%2F%284%29 Break up the expression.


x+=+%2820%29%2F%284%29 or x+=++%284%29%2F%284%29 Combine like terms.


x+=+5 or x+=+1 Simplify.


So the solutions are x+=+5 or x+=+1