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Standard X

Mathematics

Standard Form of a Quadratic Equation

Which of the ...

Question

Which of the following is not a quadratic equation?

$0 x^{2}$ – $2 x = x^{2} + 3 x + 5$

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$x^{2}$ + $4 x + 4 = x^{2} - 4$

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$x (2 x + 3) = x^{2} + 1$

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$2 (x + 1) + 8 = (x + 2) (x - 2)$

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Solution

The correct option is B
$x^{2}$ + $4 x + 4 = x^{2} - 4$

option A $0 x^{2}$ – $2 x = x^{2} + 3 x + 5$

$\to$ $x^{2} + 5 x + 5 = 0$

option B $x^{2}$ + $4 x + 4 = x^{2} - 4$

$\to$ x+2 = 0 This is not a quadratic equation.

option C $2 x^{2}$ + $3 x = x^{2} + 1$

$\to$ $x^{2} + 3 x - 4 = 0$ This is a quadratic equation.

option D $2 x + 10 = x^{2} - 4$

$\to$ $x^{2} - 2 x - 14 = 0$ Quadratic equation.

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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) $(x - 1)^{2} = 3 x^{2} + x - 2$

Which of the following is not a quadratic equation?
(i) $(\sqrt{2} x + \sqrt{3})^{2} = 3 x^{2} - 5 x$
(ii) $2 x - x^{2} = x^{2} + 5$
(iii) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{2}$

Q. Question 1
Which of the following is a quadratic equation?
(a)

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

(b)

- 2 x^{2} = (5 - x) (2 x - \frac{2}{5})

(c)

(k + 1) x^{2} + \frac{3}{2} x = 7, w h e r e k - = - 1

(d)

x^{3} - x^{2} = (x - 1)^{3}

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)

Question 2
Which of the following is not a quadratic equation?
(a) $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$
(b) $2 x - x^{2} = x^{2} + 5$
(c) ${(\sqrt{2} x + \sqrt{3})}^{2} = 3 x^{2} - 5 x$
(d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{3}$

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Which of the following is not a quadratic equation?

The correct option is B x2 + 4x+4=x2–4 option A 0x2 – 2x=x2+3x+5 →x2+5x+5=0 option B x2 + 4x+4=x2–4 → x+2 = 0 This is not a quadratic equation. option C 2x2 + 3x=x2+1 → x2+3x–4=0 This is a quadratic equation. option D 2x+10=x2–4 → x2−2x–14=0 Quadratic equation.