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Chapter 9: Q. 17 (page 869)

In the following exercises, solve each equation.

25a2+3=11

Short Answer

Expert verified

The solution of the equation isa=25,-25

Step by step solution

01

Step 1. Given information

In the given question we have to solve given equation.
25a2+3=11

02

Step 2. The given equation is 25a2+3=11

Isolate the quadratic term.

Subtract 3 on both side

25a2+3-3=11-325a2=8

Multiply by 52on both side

25a2脳52=8脳52a2=4脳5

03

Step 3. Use the Square Root Property.

a=卤4脳5

Simplify the radical.

a=卤25

04

Step 4. Rewrite to show two solutions.

a=25a=-25

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