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Chapter 9: Q. 14 (page 869)

In the following exercises, solve each equation.

y2+45=0

Short Answer

Expert verified

The solution of the equation isy=3i5,-3i5

Step by step solution

01

Step 1. Given information

In the given question we have to solve given equation.

y2+45=0

02

Step 2. The given equation is y2+45=0

Isolate the quadratic term.

Subtract 45 on both side

y2+45-45=0-45y2=-45

03

Step 3. Use the Square Root Property.

y=卤-45

Simplify using complex numbers.

We know i2=-1

y=卤45i2

04

Step 4. Simplify the radical.

y=卤5脳9i2y=卤3i5

Rewrite to show two solutions.

y=3i5y=-3i5

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