(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 roots of the quadratic equation by using the quadratic formula:
$-3x^{2} + 5x + 12 = 0$

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At $t$ minutes past $2\, pm$, the time needed by the minute hand of a clock to show $3\, pm$ was found to be $3\, minutes$ less than $\frac{t^{2}}{4}$ $minutes$. Find $t$.

Medium

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Which of the following equations has two distinct real roots?

Easy

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Solve the following quadratic equation using the method of factorization: $3x^{2} = -11x - 10$.

Easy

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If one of the roots of the quadratic equation $x^{2}+6x+k=0$ is $-4$,then $k = \ldots$.

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

Similar Questions

Find the roots of the quadratic equation by using the quadratic formula:$-3x^{2} + 5x + 12 = 0$

At $t$ minutes past $2\, pm$, the time needed by the minute hand of a clock to show $3\, pm$ was found to be $3\, minutes$ less than $\frac{t^{2}}{4}$ $minutes$. Find $t$.

Which of the following equations has two distinct real roots?

Solve the following quadratic equation using the method of factorization: $3x^{2} = -11x - 10$.

If one of the roots of the quadratic equation $x^{2}+6x+k=0$ is $-4$,then $k = \ldots$.

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Find the roots of the quadratic equation by using the quadratic formula:
$-3x^{2} + 5x + 12 = 0$