(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

Easy

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

We get $2 \ kg$ of pure butter less in Rs. $960$ if the price of pure butter increases by Rs. $40$ per $kg$. Find the original price of pure butter per kilogram.

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$A$ natural number,when increased by $12$,equals $160$ times its reciprocal. Find the number.

Medium

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Comparing the quadratic equation $5x^{2}-4x-1=0$ with the standard form $ax^{2}+bx+c=0$,we get $b=\ldots$

Easy

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The speed of a motor-boat in still water is $x \, km/hr$ and the speed of the current of the river is $5 \, km/hr$. Given $x$ > 5, what is the time taken to cover a distance of $y \, km$ upstream?

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Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $6x^{2}-5x-1=0$.

Easy

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

Similar Questions

We get $2 \ kg$ of pure butter less in Rs. $960$ if the price of pure butter increases by Rs. $40$ per $kg$. Find the original price of pure butter per kilogram.

$A$ natural number,when increased by $12$,equals $160$ times its reciprocal. Find the number.

Comparing the quadratic equation $5x^{2}-4x-1=0$ with the standard form $ax^{2}+bx+c=0$,we get $b=\ldots$

The speed of a motor-boat in still water is $x \, km/hr$ and the speed of the current of the river is $5 \, km/hr$. Given $x$ > 5, what is the time taken to cover a distance of $y \, km$ upstream?

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $6x^{2}-5x-1=0$.

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