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Chapter 9: Q. 12 (page 869)

In the following exercises, solve each equation.

y2+64=0

Short Answer

Expert verified

The solution of the equation isy=64i,-64i

Step by step solution

01

Step 1. Given information

In the given question we have to solve given equation.

y2+64=0

02

Step 2. The given equation is y2+64=0

Isolate the quadratic term.

Subtract 64 on both side

y2+64-64=0-64y2=-64

03

Step 3. Use the Square Root Property.

y=卤-64

Simplify using complex numbers.

We know i2=-1

localid="1645597211373" y=卤64i2

04

Step 4. Simplify the radical.

y=卤64i

Rewrite to show two solutions.

y=64iy=-64i

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