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Chapter 9: Q. 20 (page 869)

In the following exercises, solve each equation.

2q2+5=30

Short Answer

Expert verified

The solution of the equation isq=512,-512

Step by step solution

01

Step 1. Given information

In the given question we have to solve given equation.
2q2+5=30

02

Step 2. The given equation is 2q2+5=30

Isolate the quadratic term.

Subtract 5 on both side

2q2+5-5=30-52q2=25

Divide by 2 on both side

22q2=252q2=252

03

Step 3. Use the Square Root Property.

q=卤252

Simplify the radical.

q=卤512

04

Step 4. Rewrite to show two solutions.

q=512q=-512

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