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Standard X

Mathematics

Quadratic Equation

Which of foll...

Question

Which of following is not a quadratic equation:

(x + 3)² = 3x(x -2)

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x³ - 4x² - x + 1 = (x - 1)³

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(x + 1/x) = x + 1

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x² + x + 8 = 3x² - 4

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Solution

The correct option is C
(x + 1/x) = x + 1

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Similar questions

Which of the following is not a quadratic equation?
(a) $3 x - x^{2} = x^{2} + 5$
(b) $(x + 2)^{2} = 2 (x^{2} - 5)$
(c) $(2 x + 3)^{2} = 2 x^{2} + 6$
(d) $(x - 1)^{2} = 3 x^{2} + x - 2$

Q. Which of the following are quadratic equations?

(i) x² + 6x − 4 = 0
(ii)

\sqrt{3} x^{2} - 2 x + \frac{1}{2} = 0

(iii)

x^{2} + \frac{1}{x^{2}} = 5

(iv)

x - \frac{3}{x} = x^{2}

(v)

2 x^{2} - \sqrt{3 x} + 9 = 0

(vi)

x^{2} - 2 x - \sqrt{x} - 5 = 0

(vii) 3x² − 5x + 9 = x² − 7x + 3
(viii)

x + \frac{1}{x} = 1

(ix) x² − 3x = 0
(x)

{(x + \frac{1}{x})}^{2} = 3 (x + \frac{1}{x}) + 4

(xi) (2x + 1) (3x + 2) = 6(x − 1) (x − 2)
(xii)

x + \frac{1}{x} = x^{2}, x \neq 0

(xiii) 16x² − 3 = (2x + 5) (5x − 3)
(xiv) (x + 2)³ = x³ − 4
(xv) x(x + 1) + 8 = (x + 2) (x − 2)

Q. The factors of the polynomial equation P(x) =

4 x^{3} + x^{2} + 5 x + 8

are .

Q. Solve the equations:

\frac{2 x^{3} - 3 x^{2} + x + 1}{2 x^{3} - 3 x^{2} - x - 1} = \frac{3 x^{3} - x^{2} + 5 x - 13}{3 x^{3} - x^{2} - 5 x + 13}

Q. If

\int (3 x^{2} + x - 2) {sin}^{2} (3 x + 1) d x

= - \frac{u (x)}{72} sin (6 x + 2) + \frac{v (x)}{72} cos (6 x + 2) + \frac{1}{2} x^{3} + \frac{1}{4} x^{2} - x + C

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Which of following is not a quadratic equation:

The correct option is C (x + 1/x) = x + 1

The correct option is C
(x + 1/x) = x + 1