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

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

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

   Reply