SOLUTION: x^2+7x+10=0 3x^2-6x=0

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Question 145522: x^2+7x+10=0
3x^2-6x=0
Answer by jim_thompson5910(28510) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to solve for x. I'll solve the first one to get you started.


# 1




x%5E2%2B7x%2B10=0 Start with the given equation.


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-%287%29+%2B-+sqrt%28+%287%29%5E2-4%281%29%2810%29+%29%29%2F%282%281%29%29 Plug in a=1, b=7, and c=10


x+=+%28-7+%2B-+sqrt%28+49-4%281%29%2810%29+%29%29%2F%282%281%29%29 Square 7 to get 49.


x+=+%28-7+%2B-+sqrt%28+49-40+%29%29%2F%282%281%29%29 Multiply 4%281%29%2810%29 to get 40


x+=+%28-7+%2B-+sqrt%28+9+%29%29%2F%282%281%29%29 Subtract 40 from 49 to get 9


x+=+%28-7+%2B-+sqrt%28+9+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%28-7+%2B-+3%29%2F%282%29 Take the square root of 9 to get 3.


x+=+%28-7+%2B+3%29%2F%282%29 or x+=+%28-7+-+3%29%2F%282%29 Break up the expression.


x+=+%28-4%29%2F%282%29 or x+=++%28-10%29%2F%282%29 Combine like terms.


x+=+-2 or x+=+-5 Simplify.


So our answers are x+=+-2 or x+=+-5