SOLUTION: x^2 + 6x -25 =0 answer: -3 +-sqrt(34) any other method of solving this equation other then viaquadratic x= -b+- sqrt(b^2-4ac)/2a need a full break down of how th

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: x^2 + 6x -25 =0 answer: -3 +-sqrt(34) any other method of solving this equation other then viaquadratic x= -b+- sqrt(b^2-4ac)/2a need a full break down of how th      Log On


   

Question 184959: x^2 + 6x -25 =0
answer: -3 +-sqrt(34)


any other method of solving this equation other then viaquadratic
x= -b+- sqrt(b^2-4ac)/2a
need a full break down of how they got -3 +-sqrt(34)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
x%5E2%2B6x-25+=+0 You can always solve a quadratic equation by:
a) The quadratic formula x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a or
b) Completing the square.
Let's use the "completing-the-square" method.
x%5E2%2B6x-25+=+0 Add 25 to both sides.
x%5E2%2B6x+=+25 Now complete the square in x by adding the square of half the x-coefficient (%286%2F2%29%5E2+=+9) to both sides of the equation.
x%5E2%2B6x%2B9+=+25%2B9 Factor the left side and simplify the right side.
%28x%2B3%29%5E2+=+34 Now take the square root of both sides.
x%2B3+=+0%2B-sqrt%2834%29 Finally, subtract 3 from both sides.
highlight%28x+=+-3%2B-sqrt%2834%29%29