Math Problem Statement

  1. What quadratic equation can be formed if the two roots are -3 and-4?

x ^ 2 + x + 12 = 0

x ^ 2 + 7x + 12 = 0

x ^ 2 + x - 12 = 0

x ^ 2 - 7x + 12 = 0

  1. The length of the garden is 7m longer than its width and the area is 18m ^ 2 If the width is represented as x, what equation can be formed from the situation?

x + (x + 7) = 14

x + (x - 7) = 14

x(x - 7) = 14

x(x + 7) = 14

  1. The length of the garden is 7m longer than its width and the area is 18m ^ 2 How long is the garden?

2m

5m

7m

9m

  1. The length of a rectangular playground is 25 meters more than its width and the area is 3000 square meters. What is the correct equation to represent the problem?

w(w - 25) > 3000

(w - 3000)(w + 25) = 0

w(w + 25) = 3000

(w + 25)(w - 25) = 3000

  1. The length of a rectangular playground is 25 meters more than its width and the area of the pool is 3000 square meters.

What are the dimensions of the playground?

a. 20m by 150m

c. 40m by 75m

b. 24m by 125m

d. 50 m by 60 m

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Geometry

Formulas

Quadratic equation formula: (x - r1)(x - r2) = 0
Area of a rectangle: length × width
Quadratic formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a

Theorems

Quadratic formula

Suitable Grade Level

Grades 7-9