Question:
Which of the following is a quadratic equation?
Which of the following is a quadratic equation?
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A quadratic equation must have the highest power of \( x \) as 2.
Updated On: Oct 27, 2025
- \( (x+1)(x-1) = x^2 - 4x^3 \)
- \( (x+4)^2 = 3x + 4 \)
- \( 4x + \frac{1}{2x} = 8x^2 \)
- \( (2x^2 + 4) = (5+x)(2x-3) \)
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The Correct Option is B
Solution and Explanation
A quadratic equation is of the form:
\[ ax^2 + bx + c = 0. \]8 Expanding: \[ (x+4)^2 = 3x + 4. \] \[ x^2 + 8x + 16 = 3x + 4. \] \[ x^2 + 8x + 16 - 3x - 4 = 0. \] \[ x^2 + 5x + 12 = 0. \] This is a quadratic equation.
\[ ax^2 + bx + c = 0. \]8 Expanding: \[ (x+4)^2 = 3x + 4. \] \[ x^2 + 8x + 16 = 3x + 4. \] \[ x^2 + 8x + 16 - 3x - 4 = 0. \] \[ x^2 + 5x + 12 = 0. \] This is a quadratic equation.
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