26. Which of the following is a quadratic equation ? (a) (x-2)(x 1)=(x...
Quadratic Equations
A quadratic equation is a polynomial equation of the second degree. It can be expressed in the form of ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
Identifying Quadratic Equation
(a) (x-2)(x 1)=(x-1) (x-3) - This is not a quadratic equation as it is a product of two linear expressions.
(b) (x 2)³ = 2x (x² - 1) - This is not a quadratic equation as it contains a cubic term.
(c) x² + 3x + 1 = (x - 2)² - This is a quadratic equation as it can be expressed in the form of ax² + bx + c = 0, where a = 1, b = 3, and c = 1.
(d) 8 (x - 2)² = (2x - 1)³ - This is a quadratic equation as it can be simplified to the form of ax² + bx + c = 0, where a = 8, b = -23, and c = 27.
Conclusion
The quadratic equation is an essential topic in mathematics, and it has a wide range of applications in different fields. It is crucial to identify quadratic equations to solve them effectively.
26. Which of the following is a quadratic equation ? (a) (x-2)(x 1)=(x...
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