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Chapter 7: Q. 7.152 (page 886)

Solve:

36x2=121

Short Answer

Expert verified

The solutions of the quadratic equations 36x2=121are x=-116,116

Step by step solution

01

Step 1. Given Information.

An equation:

36x2=121

02

Step 2. Write the quadratic equation in the standard form.

36x2=12136x2-121=0

03

Step 3. Factor the quadratic expression.

Factor the expression.

It is a difference of squares.

(6x-11)(6x+11)=0

04

Step 4. Use the Zero-Product property.

Use the Zero Product Property and set each factor to zero.

6x-11=0x=1166x+11=06x=-11x=-116

The value ofx is x=-116,116

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