The following is a quadratic equation- -2 x2-5-x2 x-2-5

The correct option is A False Given that, 2x^2=(5 x) ( 2x 2/5 ) ⇒ 2x^2=10x 2x^2 2+2x/5 ⇒ 50x+2x 10 = 0 ⇒ 52x 10=0 which is not a quadratic equation ...

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Byju's Answer

Standard X

Mathematics

Framing Second Degree Equations

The following...

Question

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

True

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False

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Solution

The correct option is B
False

Given that, $- 2 x^{2} = (5 - x) (2 x - \frac{2}{5})$
$\Rightarrow - 2 x^{2} = 10 x - 2 x^{2} - 2 + \frac{2 x}{5} \Rightarrow 50 x + 2 x - 10 = 0 \Rightarrow 52 x - 10 = 0$
which is not a quadratic equation

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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

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