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Chapter 9: Q. 9.4 (page 862)

Solve5m2=80

Short Answer

Expert verified

The solutions of the quadratic equation:m=4,m=-4

Step by step solution

01

Step 1. Given information

Consider the quadratic equation

5m2=80

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

Ifx2=k, thenx=卤k

The quadratic term is isolated. Divide by 5 to make its coefficient 1.

5m25=805

Simplify the equation.

m2=16

02

Step 2. Use the square root property. 

The square root property of the quadratic equation is,

x=卤16

Simplify the radical.

x=卤4

Rewrite to show two solutions.

x=4,x=-4

03

Step 3. Check the solutions. 

Substitute x=4in the original equation.

5m2=805(4)2=?805(16)=?8080=80

And substitutex=-4in the original equation.

5m2=805(-4)2=?805(16)=?8080=80

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Use the Discriminant to Predict the Number of Solutions of a Quadratic Equation.

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