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Chapter 10: Q 143 (page 1206)

The product of two consecutive odd numbers is 255.Find the numbers.

Short Answer

Expert verified

Therefore, the consecutive odd numbers are 15 and 17 .

Step by step solution

01

Given information

The given information states that the product of two consecutive odd numbers is 255.

02

Take one number is x and other is x+2.

xx+2=255Simplifytheequationx2+2x=255x2+2x-255=0

03

Using quadratic formula

x2+2x-255=0whereasa=1,b=2andc=-255x=-2卤22-41-25521x=-2卤4+10202x=-2卤10242x=-2卤322takepositivevalueonlyx=-2+322x=302x=15x+2=15+2=17

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Most popular questions from this chapter

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

p2-22p

Complete the square to make a perfect square trinomial. Write the result as a binomial square.

p2+14p

Complete the square to make a perfect square trinomial. Write the result as a binomial square.

q2-23q.

Solvey2=121.

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

y2+11y.
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