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Chapter 9: Q 402. (page 982)

Solve using the square root property.

5c2+3=19

Short Answer

Expert verified

The solution isc=卤455.

Step by step solution

01

Step 1. Given information.

The given equation is5c2+3=19.

02

Step 2. Simplify the equation.

Apply the square root property.

If x2=k, then x=卤k.

5c2+3=195c2=19-35c2=16c2=165c=卤165c=卤45

03

Step 3. Simplified answer.

Rationalize the denominator.

c=卤45路55c=卤4552c=卤455

Hence, the required solution isc=卤455.

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