(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 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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Verify whether the given value of $x$ is a solution of the quadratic equation or not: $\frac{x+1}{x-1} - \frac{x-1}{x+1} = \frac{5}{6}, x = 5$

Easy

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

Medium

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$A$ train,travelling at a uniform speed for $360\, km$,would have taken $48\, min$ less to travel the same distance,if its speed were $5\, km/h$ more. Find the original speed of the train (in $km/h$).

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$16x^2 + 40x + k$ is a perfect square polynomial,then $k = \ldots$

Medium

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$A$ car takes $60$ minutes less for a journey of $150\,km$,if its speed is increased by $5\,km/hr$ from its usual speed. Find the original speed of the car in $km/hr$.

Medium

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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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Verify whether the given value of $x$ is a solution of the quadratic equation or not: $\frac{x+1}{x-1} - \frac{x-1}{x+1} = \frac{5}{6}, x = 5$

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

$A$ train,travelling at a uniform speed for $360\, km$,would have taken $48\, min$ less to travel the same distance,if its speed were $5\, km/h$ more. Find the original speed of the train (in $km/h$).

$16x^2 + 40x + k$ is a perfect square polynomial,then $k = \ldots$

$A$ car takes $60$ minutes less for a journey of $150\,km$,if its speed is increased by $5\,km/hr$ from its usual speed. Find the original speed of the car in $km/hr$.

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