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Chapter 10: Q 222. (page 1235)

In the following exercises, solve using the Square Root Property.

23w2-20=30

Short Answer

Expert verified

The required answer isw=53andw=-53.

Step by step solution

01

Step 1. Given information.

The given quadratic equation is:

23w2-20=30

02

Step 2. Solve using the quadratic equation by using Square Root Property. 

23w2-20=30

Isolate the quadratic term and make its coefficient one by adding 20 to both sides,

23w2-20+20=30+2023w2=50

Multiply both sides by 32,

23w2脳32=50脳32w2=75

Use Square Root Property,

w=卤75

Simplify the radical,

w=卤253w=卤53

Rewrite to show two solutions,

w=53andw=-53

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