Solve equation by factorization : 3x^2= x + 4 - Vidyadip

Question

Solve equation by factorization : $3x^2= x + 4$

✓

Answer

$
\begin{aligned}
& 3 x^2=x+4 \\
& \Rightarrow 3 x^2-x-4=0 \\
& \Rightarrow 3 x^2-4 x+3 x-4=0 \\
& \Rightarrow x(3 x-4)+1(3 x-4)=0 \\
& \Rightarrow(3 x-4)(x+1)=0
\end{aligned}
$
Either $3 x-4=0$,
then $3 x =4$
$
\Rightarrow x =\frac{4}{3}
$
or
$
x+1=0 \text {, }
$
then $x=-1$
Hence $x=\frac{4}{3},-1$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[2 Mark Question Answer]" from Quadratic Equations in One Variable→Quadratic Equations in One Variable — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

Find the value of $‘K’$ for which $x = 3$ is a solution of the quadratic equation, $(K + 2)x^2 – Kx + 6 = 0$. Also, find the other root of the equation.

If $B=\left|\begin{array}{ll}15 & 13 \\ 11 & 12 \\ 10 & 17\end{array}\right|$, find the transpose of matrix Band If possible find the sum of the two matrices. If not possible state the reason.

From the following data, find:
Median
25, 10, 40, 88, 45, 60, 77, 36, 18, 95, 56, 65, 7, 0, 38 and 83

Find the slope and the inclination of the line AB if :

A = (−3, −2) and B = (1, 2)

If two chords of a circle are equally inclined to the diameter through their point of intersection, prove that the chords are equal.

Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting:
at most two heads

For triangle $\text{ABC},$ show that : $\frac{\sin (A+B)}{2}=\frac{\cos C}{2}$

Find the values of k so that the sum of tire roots of the quadratic equation is equal to the product of the roots in each of the following:
$kx^2 + 2x + 3k = 0$

The sum of the squares of two consecutive natural numbers is $41$. Find the numbers.

Write the probability of an event when impossible.