(A) To determine if the equation $7x = 2x^2$ is quadratic,we rewrite it in the standard form $ax^2 + bx + c = 0$.Rearranging the terms,we get $2x^2 -

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Yes,it is a quadratic equation.

(A) To determine if the equation $7x = 2x^2$ is quadratic,we rewrite it in the standard form $ax^2 + bx + c = 0$.Rearranging the terms,we get $2x^2 - 7x = 0$.Comparing this with the standard form $ax^2 + bx + c = 0$,we have $a = 2$,$b = -7$,and $c = 0$.Since the highest power of the variable $x$ is $2$ and $a \neq 0$,the given equation is a quadratic equation.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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Examine whether the following equation is quadratic or not: $7x = 2x^2$.

A
Yes,it is a quadratic equation.
B
No,it is not a quadratic equation.
C
It is a linear equation.
D
It is a cubic equation.

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Mix Examples - Quadratic Equations

Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $x^{2} = 9$.

Easy

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If the value of the discriminant of the quadratic equation $x^{2}-10x+(2k-1)=0$ is $40$,then $k = \ldots$.

Medium

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If the roots of the following quadratic equation exist,find them by the method of completing the square: $(2x + 1) - \frac{4}{(2x + 1)} - 3 = 0$.

Medium

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Find the roots of the following quadratic equation by the factorisation method:
$3 \sqrt{2} x^{2}-5 x-\sqrt{2}=0$

Medium

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Find the roots of the following quadratic equation by the method of completing the square: $3 y^{2}+7 y-20=0$

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Examine whether the following equation is quadratic or not: $7x = 2x^2$.

Similar Questions

Find the discriminant of the following quadratic equation and hence determine the nature of the roots of the equation: $x^{2} = 9$.

If the value of the discriminant of the quadratic equation $x^{2}-10x+(2k-1)=0$ is $40$,then $k = \ldots$.

If the roots of the following quadratic equation exist,find them by the method of completing the square: $(2x + 1) - \frac{4}{(2x + 1)} - 3 = 0$.

Find the roots of the following quadratic equation by the factorisation method:$3 \sqrt{2} x^{2}-5 x-\sqrt{2}=0$

Find the roots of the following quadratic equation by the method of completing the square: $3 y^{2}+7 y-20=0$

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Find the roots of the following quadratic equation by the factorisation method:
$3 \sqrt{2} x^{2}-5 x-\sqrt{2}=0$