SOLUTION: Solve the quadratic equation by using the definition of square root and write the solutions in radical form. Simplify the solutions. 4(y+5)^2=128 Answer: y= ___ , ___

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the quadratic equation by using the definition of square root and write the solutions in radical form. Simplify the solutions. 4(y+5)^2=128 Answer: y= ___ , ___       Log On


   

Question 630839: Solve the quadratic equation by using the definition of square root and write the solutions in radical form. Simplify the solutions.
4(y+5)^2=128

Answer:
y= ___ , ___
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the quadratic equation by using the definition of square root and write the solutions in radical form. Simplify the solutions.
4%28y%2B5%29%5E2=128
dividing both sides by 4:
+%28y%2B5%29%5E2=32
take the square root of both sides:
+y%2B5+=+sqrt%2832%29
+y%2B5+=+sqrt%284%2A4%2A2%29
+y%2B5+=+4%2Asqrt%282%29
+y+=+4%2Asqrt%282%29+-+5

Answer:
y= 4%2Asqrt%282%29+-+5 , -4%2Asqrt%282%29+-+5