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Chapter 9: Q.465 (page 984)

Find two consecutive even numbers whose product is624.

Short Answer

Expert verified

The pair of consecutive numbers are-24,-26and24,26.

Step by step solution

01

Step 1. Given information.

Two consecutive even numbers whose product is84.

02

Step 2. Find two consecutive even numbers.

Let the first even number is x.

Thus, the second number is x+2.

xx+2=624x2+2x=624x2+2x-624=0

03

Step 3. Solve the equation.

x2+2x-624=0x2+26x-24x-624=0xx+26-24x+26=0x+26x-24=0

04

Step 4. Apply zero product property and solve for x.

x+26=0x=-26 and x-24=0x=24

Hence, the first pair of consecutive numbers are -26and -26+2=-24.

The second pair of consecutive numbers are 24and24+2=26.

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