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Chapter 9: Q. 9.2 (page 861)

Solvey2-27=0

Short Answer

Expert verified

The solutions of the quadratic equation:y=33,y=-33

Step by step solution

01

Step 1. Given information

Consider the quadratic equation

y2-27=0

The objective is to solve the quadratic equation by using square root property.

Ifx2=k, thenx=卤k

Isolate the quadratic term and make its coefficient one. Add 27 both sides to get y2by itself.

y2-27=0y2=27

02

Step 2. Use square root property. 

Remember to write the 卤symbol.

y=卤27

03

Step 3. Simplify the radical. 

Rewrite to show two solutions.

y=卤9路3y=卤33y=33,-33

04

Step 4. Check the solutions.

Substitute in y=33and y=-33.

role="math" localid="1645034860001" y2-27=0(33)2-27=?027-27=?00=0

And,

y2-27=0(-33)2-27=?027-27=?00=0

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