SOLUTION: Solve the quadratic equation by first factoring the perfect trinomial on the left side. Then apply the square root property. {{{y^2-10y+25=11}}}

Algebra ->  Radicals -> SOLUTION: Solve the quadratic equation by first factoring the perfect trinomial on the left side. Then apply the square root property. {{{y^2-10y+25=11}}}      Log On


   

Question 245460: Solve the quadratic equation by first factoring the perfect trinomial on the left side. Then apply the square root property.
y%5E2-10y%2B25=11
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y:
y%5E2-10y%2B25+=+11 Factor the trinomial.
%28y-5%29%5E2+=+11 Take the square root of both sides.
y-5+=+sqrt%2811%29 or y-5+=+-sqrt%2811%29 Add 5 to both sides of each solution.
highlight%28y+=+5%2Bsqrt%2811%29%29 or highlight%28y+=+5-sqrt%2811%29%29