SOLUTION: Use compliting square method to write the given quadratic equation y=x²-10x+8 as y=(x-h)²+k.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use compliting square method to write the given quadratic equation y=x²-10x+8 as y=(x-h)²+k.      Log On


   

Question 598027: Use compliting square method to write the given quadratic equation y=x²-10x+8 as y=(x-h)²+k.
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
y = x² - 10x + 8

Multiply coefficient of x, which is -10, by 1%2F2, getting -5.
Square -5, getting (-5)² = +25.

Add 25 - 25 (which is really zero) to the right side after the -10x

y = x² - 10x + 25 - 25 + 8

Factor the first three terms on the right sides:

y = (x - 5)(x - 5) - 25 + 8

Write (x - 5)(x - 5) as (x - 5)², and write -25 + 8 as -17

y = (x - 5)² - 17

That's it.

Edwin