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Chapter 9: Q.5 (page 869)

Solve Quadratic Equations of the Form ax2=kUsing the Square Root Property.

In the following exercises, solve each equationu2-300=0

Short Answer

Expert verified

The solution of the quadratic equation:

u=103,u=-103

Step by step solution

01

Step 1. Given information

Consider the quadratic equation u2-300=0

The objective is to solve the quadratic equation by using the square root property.

If x2=k, then x=卤k.

Isolate the quadratic term and make its coefficient one. Add 100 to both sides.

u2=300

02

Step 2. Apply square root property  

So, u=卤300

Simplify the radical.

u=卤100路3u=卤103

Rewrite to show two solutions.

u=103,u=-103

03

Step 3. Check the solutions

Substitute u=103in the original equation.

u2-300=0(103)2-300=?0300-300=?00=0

Substitute u=-103in the original equation.

u2-300=0(-103)2-300=?0300-300=?00=0

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