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Chapter 7: Q. 7.160 (page 889)

The product of two consecutive integers is 420. Find the integers.

Short Answer

Expert verified

The integers are20,21and-20,-21.

Step by step solution

01

Step 1. Given Information.

The product of two consecutive integers are 420.

02

Step 2. Factor the Equation

According to the question,

x(x+1)=420x2+x-420=0x2+21x-20x-420=0x(x+21)-20(x+21)=0(x-20)(x+21)=0

03

Step 3. Solution of the equation.

Using the Zero Product property,

x-20=0x=20x+1=21Also,x+21=0x=-21x+1=-20

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