Solve the following quadratic equation by factorization. 2m (m-24… - Vidyadip

Question

Solve the following quadratic equation by factorization.
2m (m-24) = 50

✓

Answer

$\begin{array}{l}
2 m(m-24)=50 \\
2 m^2-48 m-50=0 \\
\Rightarrow 2 m^2-50 m+2 m-50=0 \\
\Rightarrow 2 m(m-25)+2(m-25)=0 \\
\Rightarrow(2 m+2)(m-25)=0 \\
\Rightarrow 2 m+2=0 \text { or } m-25=0 \\
\Rightarrow m=-1 \text { or } m=25
\end{array}$
Hence, $m =-1$ or $m =25$ are roots of the equation.

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 Marks Questions" from P-1 Quadratic Equations→P-1 Quadratic Equations — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

Find $a_{30} - a_{20}$_ for the A.P.
$a, a + d, a + 2d, a + 3d$, .....

Find the co-ordinates of point $\mathrm{P}$ if $\mathrm{P}$ is the midpoint of a line segment $\mathrm{AB}$ with $A(-4,2)$ and $B(6,2)$.

In a $\triangle\text{ABC}$ right angled at B, $\angle\text{A}=\angle\text{C.}$ Find the values of.
$\sin\text{A}\cos\text{C}+\cos\text{A}\sin\text{C}$

Write an A.P. whose first term is a and common difference is d in each of the following.
$a = 10, d = 5$

If $\cos\theta=\frac{2}{3},$ find the value of $\frac{\sec\theta-1}{\sec\theta+1}.$

‘M/s. Real Paint’ sold 2 tins of lustre paint and taxable value of each tin is Rs. 2800. If the rate of GST is 28%, then find the amount of CGST and SGST charged in the tax invoice.

Following is the distribution of marks of 70 students in a periodical test:

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
Number of students	3	11	28	48	70

Draw a cumulative frequency for the above data.

In a $\triangle\text{ABC, D}$ and E are points on the sides AB and AC respectively. For the following cases show that DE || BC:
AB = 5.6cm, AD = 1.4cm, AC = 7.2 and AE = 1.8cm.

How many terms are there in the A.P. 187, 194, 201, ..., 439 ?

Find the $9^{\text {th }}$ term from the end of the A.P. $5,9,13, \ldots . . ., 185$.