Solve the following quadratic equations by factorisation : m² - 1… - Vidyadip

Question

Solve the following quadratic equations by factorisation : m² - 14 m + 13 = 0

✓

Answer

$\begin{aligned}
& m^2-14 m+13=0 \\
\therefore & m^2-13 m-1 m+13=0 \\
\therefore & \overline{m(m-13)} \overline{-1(m-13)}=0 \\
\therefore & (m-13)(m-1)=0 \\
\therefore & m-13=0 \text { or } m-1=0 \\
\therefore & m=13 \text { or } m=1
\end{aligned}$
$\therefore 13$ and 1 are the roots of the given quadratic 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 "3 Marks Question" 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

If the total surface area of a solid hemisphere is $462\ cm^2$, find its volume $\Big(\text{use}\ \pi=\frac{22}{7}\Big)$

Prove : $\frac{\cos ^2 A+\tan ^2 A-1}{\sin ^2 A}=\tan ^2 A$

If $\cot\theta=\sqrt{3},$ find the value of $\frac{\text{cosec}^2\theta+\cot^2\theta}{\text{cosec}^2\theta-\sec^2\theta}$.

>Radius of a sector of a circle is 7 cm. If measure of arc of the sector is –
(I) $30^{\circ}$
(II) $210^{\circ}$
(lll) three right angles
Find the area of sector in each case.

If $-5$ is a root of the quadratic equation $2 x^2+p x-15=0$ and the quadratic equation $p\left(x^2+x\right)+k=0$ has equal roots, find the value of $k$.

Prove the following trigonometric identities.
$\frac{\sin\theta-\cos\theta+1}{\sin\theta+\cos\theta-1}=\frac{1}{\sec\theta-\tan\theta}$

A lawn is in the from of a rectangle whose sides are in the ratio $5 : 3$ and its area is $3375\ m^2$. Find the cost of fencing the lawn at $₹ 20$ per meter.

Prove that $\sqrt{2}+\sqrt{3}$ is an irrational number.

Write the zeros of the polynomial $x^2 - x - 6.$

The sum of three terms of an A.P. is $21$ and the product of the first and the third terms exceeds the second term by $6$, find three terms.