Download App

Quadratic Equations — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsQuadratic Equations2 Marks
Question
Solve the following quadratic equation:$2x^2 + x - 6 = 0$
✓

Answer

$2x^2 + x - 6 = 0$
$\Rightarrow 2x^2 + 4x - 3x - 6 = 0$
$\Rightarrow 2x(x + 2) - 3(x + 2) = 0$
$\Rightarrow (x + 2)(2x - 3) = 0$
$\Rightarrow x + 2 = 0 $ or $2x - 3 = 0$
$\Rightarrow x = -2$ or $\text{x}=\frac{3}{2}$

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 Quadratic Equations→Quadratic Equations — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

Solve : x² - 2x - 3 = 0
→
The ratio between the radius of the base and the height of a cylinder is $2 : 3$. If the volume of the cylinder is $12936\ cm^3$​​​​​​​, then find the radius of the base of the cylinder.
→
Smt. Aruna Thakkar purchased 100 shares of FV 100 when the MV is Rs. 1200. She paid brokerage at the rate of 0.3% and 18% GST on brokerage.
Find the following -
(1) Net amount paid for 100 shares.
(2) Brokerage paid on sum invested.
(3) GST paid on brokerage.
(4) Total amount paid for 100 shares.
→
Sum of $11$ terms of the A.P. $2,6,10,14$.
→
The volume of a cube is $729\ cm^3$​​​​​​​. Find its surface area.
→
State with reason whether the point (3, −2) will lie on the graph of the equation 5 𝑚 − 3 𝑛 = −21.
→
Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non terminating repeating decimal expansion.
$\frac{129}{2^2\times5^7\times7^{17}}$
→
A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is -
an ace.
→
It is known that a box of $200$ electric bulbs contains $16$ defective bulbs. One bulb is taken out at random from the box. What is the probability that the bulb drawn is:
  1. Defective.
  2. Nondefective.
→
There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is:
  1. Boy.
  2. Girl.
→