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Chapter 9: Q 9.1. (page 861)

Solvex2-48=0

Short Answer

Expert verified

The solutions of the quadratic equation:x=43,x=-43.

Step by step solution

01

Step 1.  Given Information.

Consider the quadratic equationx2-48=0

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

Ifx2=k, thenx=卤k.

Isolate the quadratic term and make its coefficient one. Add 48 both sides to get x2by itself.

localid="1645531210102" x2-48=0x2=48

02

Step 2. Use square root property.

Remember to write the 卤symbol.

x=卤48

03

Step 3. Simplify the radical.

Rewrite to show two solutions.

x=卤16路3x=卤43x=43,-43

04

Step 4. Check the solutions.

Substitute in x=43and x=-43.

x2-48=0(43)2-48=?048-48=?00=0

And,

x2-48=0(-43)2-48=?048-48=?00=0

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