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Chapter 10: Q 223. (page 1235)

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

5c2+3=19

Short Answer

Expert verified

The required answer isc=455andc=-455.

Step by step solution

01

Step 1. Given information.

The given quadratic equation is:

5c2+3=19

02

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

5c2+3=19

Isolate the quadratic term and make its coefficient one by subtracting 3 from both sides,

5c2+3-3=19-35c2=16

Divide both sides by 5,

localid="1653448355102" 5c25=165c2=165

Use Square Root Property,

c=卤165

Simplify the radical,

localid="1653448459356" c=卤165c=卤45c=卤455

Rewrite to show two solutions,

localid="1653448429279" c=455andc=-455

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