(B) Given equation: $x(x+1)+8=(x+2)(x-2)$Expanding both sides:$x^2 + x + 8 = x^2 - 4$Subtracting $x^2$ from both sides:$x + 8 = -4$$x + 12 = 0$Since t

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No,it is not a quadratic equation.

(B) Given equation: $x(x+1)+8=(x+2)(x-2)$Expanding both sides:$x^2 + x + 8 = x^2 - 4$Subtracting $x^2$ from both sides:$x + 8 = -4$$x + 12 = 0$Since the highest power of the variable $x$ is $1$,this is a linear equation,not a quadratic equation. $A$ quadratic equation must have the form $ax^2 + bx + c = 0$ where $a \neq 0$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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Examine whether the following equation is quadratic or not: $x(x+1)+8=(x+2)(x-2)$

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 following quadratic equation by using the quadratic formula,if they exist: $9x^{2} - 5x + 3 = 0$.

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Find the roots of the following quadratic equation by the method of completing the square: $4x^{2} + 4bx - (a^{2} - b^{2}) = 0$.

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Examine whether the following equation is quadratic or not: $x(x+1)+8=(x+2)(x-2)$

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Find the roots of the following quadratic equation by using the quadratic formula,if they exist: $9x^{2} - 5x + 3 = 0$.

Find the roots of the following quadratic equation by the factorisation method:$3x^{2} + 5\sqrt{5}x - 10 = 0$

If one of the roots of the equation $kx^{2} + 2x - 3 = 0$ is $2$,then find $k$.

If the roots of the equation $6x^2 - 13x + m = 0$ are reciprocal of each other,then $m = $ ...........

Find the roots of the following quadratic equation by the method of completing the square: $4x^{2} + 4bx - (a^{2} - b^{2}) = 0$.

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Find the roots of the following quadratic equation by the factorisation method:
$3x^{2} + 5\sqrt{5}x - 10 = 0$