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