(A) To determine if the equation is quadratic,we simplify it:$(x-3)(2x+1) = x(x+5)$$2x^2 + x - 6x - 3 = x^2 + 5x$$2x^2 - 5x - 3 = x^2 + 5x$Subtracting

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Yes,it is a quadratic equation.

(A) To determine if the equation is quadratic,we simplify it:$(x-3)(2x+1) = x(x+5)$$2x^2 + x - 6x - 3 = x^2 + 5x$$2x^2 - 5x - 3 = x^2 + 5x$Subtracting $(x^2 + 5x)$ from both sides:$2x^2 - x^2 - 5x - 5x - 3 = 0$$x^2 - 10x - 3 = 0$Since this equation is in the form $ax^2 + bx + c = 0$ where $a \neq 0$,it is a quadratic equation.

Class 10 Mathematics Quadratic Equations Quadratic Equations

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Examine whether the following equation is quadratic or not: $(x-3)(2x+1) = x(x+5)$

A
Yes,it is a quadratic equation.
B
No,it is a linear equation.
C
No,it is a cubic equation.
D
No,it is a constant equation.

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Examine whether the following equation is quadratic or not: $9x = 3x^3$.

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Which of the following is true for the coefficients and constant term of a quadratic equation $ax^2 + bx + c = 0$?

Easy

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If one of the roots of the equation $px^{2} + qx + r = 0$ where $p \neq 0$ and $p, q, r \in R$ is $x = -2$,then prove that $4p - 2q + r = 0$.

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The sum of the reciprocals of Rehman's ages,(in $years$) $3$ years ago and $5$ years from now is $\frac{1}{3}$. Find his present age. (in $years$)

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Check whether the following is a quadratic equation:
$(x+1)^{2}=2(x-3)$

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Examine whether the following equation is quadratic or not: $(x-3)(2x+1) = x(x+5)$

Similar Questions

Examine whether the following equation is quadratic or not: $9x = 3x^3$.

Which of the following is true for the coefficients and constant term of a quadratic equation $ax^2 + bx + c = 0$?

If one of the roots of the equation $px^{2} + qx + r = 0$ where $p \neq 0$ and $p, q, r \in R$ is $x = -2$,then prove that $4p - 2q + r = 0$.

The sum of the reciprocals of Rehman's ages,(in $years$) $3$ years ago and $5$ years from now is $\frac{1}{3}$. Find his present age. (in $years$)

Check whether the following is a quadratic equation:$(x+1)^{2}=2(x-3)$

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Check whether the following is a quadratic equation:
$(x+1)^{2}=2(x-3)$