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Chapter 9: Q. 13 (page 869)

In the following exercises, solve each equation.

x2+63=0

Short Answer

Expert verified

The solution of the equation isx=3i7,-3i7

Step by step solution

01

Step 1. Given information

In the given question we have to solve given equation.

x2+63=0

02

Step 2. The given equation is x2+63=0

Isolate the quadratic term.

Subtract 63 on both side

x2+63-63=0-63x2=-63

03

Step 3. Use the Square Root Property.

x=卤-63

Simplify using complex numbers.

We know i2=-1

x=卤63i2

04

Step 4. Simplify the radical.

x=卤7脳9i2x=卤3i7

Rewrite to show two solutions.

x=3i7x=-3i7

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