SOLUTION: x^2+5x+6=0

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Question 551123: x^2+5x+6=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2B5x%2B6=0 Start with the given equation.


Notice that the quadratic x%5E2%2B5x%2B6 is in the form of Ax%5E2%2BBx%2BC where A=1, B=5, and C=6


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-%285%29+%2B-+sqrt%28+%285%29%5E2-4%281%29%286%29+%29%29%2F%282%281%29%29 Plug in A=1, B=5, and C=6


x+=+%28-5+%2B-+sqrt%28+25-4%281%29%286%29+%29%29%2F%282%281%29%29 Square 5 to get 25.


x+=+%28-5+%2B-+sqrt%28+25-24+%29%29%2F%282%281%29%29 Multiply 4%281%29%286%29 to get 24


x+=+%28-5+%2B-+sqrt%28+1+%29%29%2F%282%281%29%29 Subtract 24 from 25 to get 1


x+=+%28-5+%2B-+sqrt%28+1+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%28-5+%2B-+1%29%2F%282%29 Take the square root of 1 to get 1.


x+=+%28-5+%2B+1%29%2F%282%29 or x+=+%28-5+-+1%29%2F%282%29 Break up the expression.


x+=+%28-4%29%2F%282%29 or x+=++%28-6%29%2F%282%29 Combine like terms.


x+=+-2 or x+=+-3 Simplify.


So the solutions are x+=+-2 or x+=+-3