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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 10: Q 148 (page 1206)

The product of two consecutive Even numbers is 328.Find the numbers .

Short Answer

Expert verified

Therefore , two consecutive even numbers are 22 and 24 .

Step by step solution

01

Given information

The given statement states that the product of two consecutive Even numbers is 528.

02

Two consecutive even numbers

Take two numbers are n and n +2.

Product of two consecutive even numbers

$(n) (n + 2) = 528 Simplify the equation n^{2} + 2 n = 528 n^{2} + 2 n - 528 = 0$

03

Using Quadratic formula

$n^{2} + 2 n - 528 = 0 Whereas a = 1, b = 2 and c = - 528 n = \frac{- 2 \pm \sqrt{2^{2} - 4 (1) (- 528)}}{2 (1)} n = \frac{- 2 \pm \sqrt{2116}}{2} n = \frac{- 2 \pm 46}{2} n = \frac{44}{2} n = 22 n + 2 = 24$

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Most popular questions from this chapter

An arrow is shot from the ground into the air at an initial speed of $108 f t / s e c$ .Use the formula $h = - 16 t^{2} + v_{0} t$ to determine when the arrow will be 180 feet from the ground . Round the nearest tenth of a second .

Solve the quadratic equation using square root property.

$(b - 1)^{2} - 9 = 39$

Solve $(r - 3)^{2} = 25$ .

Solve $x^{2} = 81$ .

A man throws a ball into the air with a velocity of $96 f e e t / s e c$ .Use the formula $h = - 16 t^{2} + v_{0} t$ to determine when the height of the ball will be 48 feet . Round to the nearest tenth of a second.

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