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Chapter 7: Q. 7.159 (page 889)

The product of two consecutive integers is 240. Find the integers.

Short Answer

Expert verified

The integers are-15,-16and15,16.

Step by step solution

01

Step 1. Given Information.

The product of two consecutive integers is240.

Therefore,

The given equation is x(x+1)=240.

02

Step 2. Factor the equation.

On factoring,

x(x+1)=240x2+x=240x2+x-240=0x2+16x-15x-240=0x(x+16)-15(x+16)=0

03

Step 3. Solution of the equation.

Using the Zero product property,

x-15=0,x=15threfore,x+1=16Also,x+16=0,x=-16therefore,x+1=-15

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