Which of the following is-are not a quadratic equation-3x-2 nbsp- 4 - 0-2x nbsp- - x-2-x - nbsp- 5 - 3-x-2 nbsp- 8x - 5 - 0-

The correct option is C x + nbsp; 5 = 3 Standard form of a Quadratic Equation is ax^2+bx+c =0, a0 nbsp;(i)x^2 nbsp;– 8x + 5 = 0 is in the standard form ...

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Standard X

Mathematics

Standard Form of a Quadratic Equation

Which of the ...

Question

Which of the following is/are not a quadratic equation?

$x^{2} - 8 x + 5 = 0$

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$3 x^{2} - 4 = 0$

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$2 x = x^{2}$

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$x + 5 = 3$

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Solution

The correct option is D
$x + 5 = 3$

Standard form of a Quadratic Equation is $a x^{2} + b x + c = 0, a \neq 0$

$(i) x^{2} - 8 x + 5 = 0$ is in the standard form, so it is a quadratic equation.

$(i i) 3 x^{2} - 4 = 0$ is in the standard form, so it is a quadratic equation.

$(i i i) 2 x = x^{2} \Rightarrow x^{2} - 2 x = 0$ is in the standard form, so it is a quadratic equation.

$(i v) x + 5 = 3 \Rightarrow 0 x^{2} + x + 2 = 0$ which is not a quadratic equation because the coefficient of $x^{2} (a) = 0$ .

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Similar questions

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

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

(b)

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

(c)

2 x^{2} + 3 = (5 + x) (2 x - 3)

(d) None of these

The following is a quadratic equation.
$- 2 x^{2} = (5 - x) (2 x - \frac{2}{5})$

Q. Solve the following quadratic equation by factorization, the roots are :

5

\frac{- 1}{3}

3 x^{2}

- 14x - 5 = 0

Find the nature of the roots of the following quadratic equations:
(i) $2 x^{2} - 8 x + 5 = 0$

(ii) $3 x^{2} - 2 \sqrt{6} x + 2 = 0$
(iii) $5 x^{2} - 4 x + 1 = 0$

(iv) $5 x (x - 2) + 6 = 0$
(v) $12 x^{2} - 4 \sqrt{15} x + 5 = 0$

(vi) $x^{2} - x + 2 = 0$

Check whether the roots of the following quadratic equations are real or not?

3 x^{2} - 4 \sqrt{3} x + 4 = 0

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