Question

Check whether (x-2)(2x+1)=x(x+5) is a quadratic equation or not

Answer 1

Answer:

Yes

Step-by-step explanation:

To find whether the Equation is Quadratic or not, first simplify the given equation.

(x - 2) (2x + 1) = x (x + 5)

→ x (2x + 1) -2 (2x + 1) = x (x + 5)

→ 2x² + x - 4x - 2 = x² + 5x

→ 2x² - 3x - 2 = x² + 5x

→ 2x² - x² - 2 = 5x + 3x

→ x² - 2 = 8x

→ x² - 8x - 2 = 0

The simplified expression is of the form ax² + bx + c where:

• a = 1
• b = -8
• c = -2

∴ (x - 2) (2x + 1) = x (x + 5) is a Quadratic Equation

KNOW MORE:

• The general form of a quadratic polynomial is ax² + bx + c = 0
• The general form of a linear polynomial is ax + b = 0