Show the following quadratic equation by factorization method: 17… - Vidyadip

Question

Show the following quadratic equation by factorization method:
$17x^2 - 28x + 12 = 0$

✓

Answer

$17x^2 + 28x + 12 = 0$
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
Where $D = b^2 - 4ac$
$= (-28)^2 - 4.17.12$
$= 784 - 816$
$= -32$
From (A)
$\text{x}=\frac{-28\pm\sqrt{-32}}{2.17}$
$=\frac{-28\pm4\sqrt{2}\text{i}}{34}$
$\therefore\text{x}=\frac{-14\pm2\sqrt{2}\text{i}}{17}$

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 "Solve the Following Question.(3 Marks)" from Quadratic Equations→Quadratic Equations — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

How many terms of the sequence $\sqrt{3},3,3\sqrt{3},\ ...$ must be taken to make the sum $39+13\sqrt{3}?$

Solve the following linear inequations in R:
$\frac{5\text{x}}{2}+\frac{3\text{x}}{4}\geq\frac{39}{4}$

Sketch the graphs of the following function:
$\text{h(x)}=2\sin3\text{x},0\leq\text{x}\leq\frac{2\pi}{3}$

Prove that:
$\cos^3\text{x}\sin3\text{x}+\sin^3\text{x}\cos3\text{x}=\frac{3}{4}\sin4\text{x}$

A coin and a die are tossed simultaneously.

Enumerate the sample space and the following events.

(a) A : Getting a tail and an odd number.

(b) B : Getting a prime number.

(c) C : Getting head and a perfect square.

Find the area of triangle whose vertices are : M (0, 5), N (- 2, 3), T (1, – 4)

Prove the following : $\frac{\cos 27^{\circ}+\sin 27^{\circ}}{\cos 27^{\circ}-\sin 27^{\circ}}=\tan 72^{\circ}$

$\text{If}\ \text{cosec}\text{A}+\sec\text{A}=\text{cosecB}+\sec\text{B},$ prove that:
$\tan\text{A}\tan\text{B}=\cot\frac{\text{A+B}}{2}$

Find $\left(50^2-49^2\right)+\left(48^2-47^2\right)+\left(46^2-45^2\right)+\ldots+\left(2^2-1^2\right)$.

Prove that the triangle formed by joining the three points whose coordinates are (1, 2, 3), (2, 3, 1) and (3, 1, 2) is an equilateral triangle.