Question

Express the statement "A rectangular field with an area of 120m' has it length 12mn longer than the width" as quadratic equation.

Answer 1

The quadratic equation is x^2 -12x -120 = 0

where x represents the length of the field

Explanation:

We want to make an expression in terms of a quadratic equation;

Let the length of the field be x mm , then the width will be (x-12) mm

Mathematically , the area of the field will be L * B

Thus;

x * (x-12) = 120

That gives;

x^2 -12x = 120

x^2 -12x -120 = 0