SOLUTION: what is the solution to 8x^2+23x-3

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Question 453209: what is the solution to 8x^2+23x-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8x%5E2%2B23x-3=0 Start with the given equation.


Notice that the quadratic 8x%5E2%2B23x-3 is in the form of Ax%5E2%2BBx%2BC where A=8, B=23, and C=-3


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-%2823%29+%2B-+sqrt%28+%2823%29%5E2-4%288%29%28-3%29+%29%29%2F%282%288%29%29 Plug in A=8, B=23, and C=-3


x+=+%28-23+%2B-+sqrt%28+529-4%288%29%28-3%29+%29%29%2F%282%288%29%29 Square 23 to get 529.


x+=+%28-23+%2B-+sqrt%28+529--96+%29%29%2F%282%288%29%29 Multiply 4%288%29%28-3%29 to get -96


x+=+%28-23+%2B-+sqrt%28+529%2B96+%29%29%2F%282%288%29%29 Rewrite sqrt%28529--96%29 as sqrt%28529%2B96%29


x+=+%28-23+%2B-+sqrt%28+625+%29%29%2F%282%288%29%29 Add 529 to 96 to get 625


x+=+%28-23+%2B-+sqrt%28+625+%29%29%2F%2816%29 Multiply 2 and 8 to get 16.


x+=+%28-23+%2B-+25%29%2F%2816%29 Take the square root of 625 to get 25.


x+=+%28-23+%2B+25%29%2F%2816%29 or x+=+%28-23+-+25%29%2F%2816%29 Break up the expression.


x+=+%282%29%2F%2816%29 or x+=++%28-48%29%2F%2816%29 Combine like terms.


x+=+1%2F8 or x+=+-3 Simplify.


So the solutions are x+=+1%2F8 or x+=+-3