SOLUTION: Please help me solve this equation: {{{ x^2-8x+15=0 }}}. Please help me solve this equation by completing for square

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me solve this equation: {{{ x^2-8x+15=0 }}}. Please help me solve this equation by completing for square      Log On


   



Question 134333This question is from textbook beginning algebra
: Please help me solve this equation: +x%5E2-8x%2B15=0+.
Please help me solve this equation by completing for square
This question is from textbook beginning algebra

Found 2 solutions by josmiceli, Earlsdon:
Answer by josmiceli(19441) About Me  (Show Source):
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by completing the square:
x%5E2-8x%2B15+=+0 Subtract 15 from both sides.
x%5E2-8x+=+-15 Complete the square in x by adding the square of half the x-coefficient %28-8%2F2%29%5E2+=+16 to both sides.
x%5E2-8x%2B16+=+-15%2B16 Factor the left sides.
%28x-4%29%5E2+=+1 Take the square root of both sides.
%28x-4%29+=+1 or %28x-4%29+=+-1 so...
x+=+4%2B1 or x+=+4-1
x+=+5 or x+=+3