(B) To verify if $x=3$ is a solution of the quadratic equation $6x^{2}-x-2=0$,we substitute $x=3$ into the expression $6x^{2}-x-2$.Substituting $x=3$:

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(B) To verify if $x=3$ is a solution of the quadratic equation $6x^{2}-x-2=0$,we substitute $x=3$ into the expression $6x^{2}-x-2$.Substituting $x=3$:$6(3)^{2} - (3) - 2$$= 6(9) - 3 - 2$$= 54 - 3 - 2$$= 49$Since the result $49 \neq 0$,the value $x=3$ does not satisfy the equation.Therefore,$x=3$ is not a solution of the quadratic equation $6x^{2}-x-2=0$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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Verify whether the given value of $x$ is a solution of the quadratic equation or not: $6x^{2}-x-2=0, x=3$.

A
Yes,it is a solution.
B
No,it is not a solution.
C
It is a root of the equation.
D
Cannot be determined.

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Mix Examples - Quadratic Equations

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

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Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $9x^2 + 6x + 4 = 0$.

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

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If the value of the discriminant of the quadratic equation $x^{2} + \sqrt{2}x + 2 = 0$ is .... .

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If the following quadratic equation has two equal and real roots,then find the value of $k$: $k x^{2} - 2 \sqrt{5} x + 4 = 0$.

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Verify whether the given value of $x$ is a solution of the quadratic equation or not: $6x^{2}-x-2=0, x=3$.

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

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $9x^2 + 6x + 4 = 0$.

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

If the value of the discriminant of the quadratic equation $x^{2} + \sqrt{2}x + 2 = 0$ is .... .

If the following quadratic equation has two equal and real roots,then find the value of $k$: $k x^{2} - 2 \sqrt{5} x + 4 = 0$.

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