Jasonbradley
Home

(x-2)(x+5)-2=0 Quadratic Or Not

2 min read Jun 17, 2024
(x-2)(x+5)-2=0 Quadratic Or Not

Is (x-2)(x+5)-2=0 a Quadratic Equation?

Let's analyze the given equation: (x-2)(x+5)-2=0 to determine if it's a quadratic equation.

Understanding Quadratic Equations

A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, and c are constants, and a ≠ 0. The highest power of the variable 'x' in a quadratic equation is 2.

Analyzing the Given Equation

  1. Expand the equation: (x-2)(x+5)-2 = 0 x² + 3x - 10 - 2 = 0 x² + 3x - 12 = 0

  2. Identify the coefficients: a = 1, b = 3, c = -12

  3. Observe the highest power of 'x': The highest power of 'x' is 2.

Conclusion:

Since the equation can be rewritten in the standard quadratic form ax² + bx + c = 0, and the highest power of 'x' is 2, we can conclude that (x-2)(x+5)-2=0 is indeed a quadratic equation.

Featured Posts