(B) Given the quadratic equation: $x(x+1)-6=0$Expanding the equation: $x^{2}+x-6=0$To find the roots,we factorize the quadratic expression:$x^{2}+3x-2

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(B) Given the quadratic equation: $x(x+1)-6=0$Expanding the equation: $x^{2}+x-6=0$To find the roots,we factorize the quadratic expression:$x^{2}+3x-2x-6=0$$x(x+3)-2(x+3)=0$$(x+3)(x-2)=0$Setting each factor to zero:$x+3=0 \implies x=-3$$x-2=0 \implies x=2$Therefore,the roots are $-3$ and $2$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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If the roots of the quadratic equation $x(x+1)-6=0$ are

A
$3$ and $-2$
B
$-3$ and $2$
C
$3$ and $2$
D
$-3$ and $-2$

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Solve the following equation using the method of factorization: $\frac{x^{2}-1}{x^{2}+1}=\frac{7}{9}$

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Find whether the following equation has real roots. If real roots exist,find them.
$x^{2}+5 \sqrt{5} x-70=0$

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If $64$ is the discriminant of $k x^{2}-4 x-4=0$,then the value of $k$ is ...........

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The sum of two numbers is $15$. If the sum of their reciprocals is $\frac{3}{10}$,then find the numbers.

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

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If the roots of the quadratic equation $x(x+1)-6=0$ are

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Solve the following equation using the method of factorization: $\frac{x^{2}-1}{x^{2}+1}=\frac{7}{9}$

Find whether the following equation has real roots. If real roots exist,find them.$x^{2}+5 \sqrt{5} x-70=0$

If $64$ is the discriminant of $k x^{2}-4 x-4=0$,then the value of $k$ is ...........

The sum of two numbers is $15$. If the sum of their reciprocals is $\frac{3}{10}$,then find the numbers.

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

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Find whether the following equation has real roots. If real roots exist,find them.
$x^{2}+5 \sqrt{5} x-70=0$