Verify whether the given value of $x$ is a solution of the quadratic equation or not: $2x^2 - 5x + 3 = 0$; $x = \frac{1}{2}$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B) To verify if $x = \frac{1}{2}$ is a solution,substitute $x = \frac{1}{2}$ into the quadratic equation $2x^2 - 5x + 3 = 0$.
$LHS$ $= 2(\frac{1}{2})^2 - 5(\frac{1}{2}) + 3$
$= 2(\frac{1}{4}) - \frac{5}{2} + 3$
$= \frac{1}{2} - \frac{5}{2} + 3$
$= -\frac{4}{2} + 3$
$= -2 + 3 = 1$
Since $LHS$ $\neq$ $RHS$ (where $RHS$ $= 0$),$x = \frac{1}{2}$ is not a solution of the given quadratic equation.

Explore More

Similar Questions

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $x + \frac{1}{x} = 3, x \neq 0$.

$A$ 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 $km/h$).

Difficult
View Solution

......... can be taken as the value of $k$,if one of the roots of the quadratic equation $k x^{2} - 7x + 6 = 0$ is $\frac{3}{2}$.

We get $2$ litres of kerosene less in Rs. $360$ if the price of kerosene increases by Rs. $2$ per litre. Find the original price of kerosene per litre.

Difficult
View Solution

Find the roots of the following quadratic equation by the method of completing the square: $5x^{2}-4x-10=0$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo