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Chapter 10: Q 14 (page 1165)

Solve the quadratic equation using square root property.

2q2+5=30.

Short Answer

Expert verified

The solutions areq=卤522.

Step by step solution

01

Given Information.  

The Given equation is2q2+5=30.

02

Isolate the quadratic term and makes its coefficient one.   

2q2=30-52q2=25q2=252

03

 Use the square root property.   

q=卤252q=卤52

Rationalize the denominator.

q=卤52脳22q=卤522

04

Check the solutions.   

Substitute q=522.

2q2+5=3025222+5=?3025+5=?3030=30True

Substitute q=-522

2q2+5=302-5222+5=?3025+5=?3030=30True

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