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Chapter 7: Q. 7.145 (page 884)

Solve:

x2-x-12=0

Short Answer

Expert verified

The solutions of the quadratic equations x2-x-12=0are x=4,-3

Step by step solution

01

Step 1. Given Information

An equation:

x2-x-12=0

02

Step 2. Factor the quadratic expression

Factorize the equation,

x2-x-12=0(x-4)(x+3)=0

03

Step 3. Use the Zero-Product property

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

x-4=0x=4x+3=0x=-3

The value of x is x=4,-3

04

Step 4. Check the answer

Check by substituting the values in the original equation,

When x=4,

(4)2-(4)-12=016-4-12=016-16=0

When x=-3,

(-3)2-(-3)-12=09+3-12=012-12=0

Hence the equation holds true.

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