Show the following quadratic equation by factorization method: 5x… - Vidyadip

Question

Show the following quadratic equation by factorization method:
$\sqrt{5}\text{x}^2+\text{x}+\sqrt{5}=0$

✓

Answer

$\sqrt{5}\text{x}^2+\text{x}+\sqrt{5}=0$
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
$D = b^2 - 4ac$
$=1^2-4.\sqrt{5}.\sqrt{5}$
$= 1 - 20$
$= -19$
From (A)
$\text{x}=\frac{-1\pm\sqrt{-19}}{2.\sqrt{5}}$
$=\frac{-1\pm\sqrt{-19}\text{ i}}{2\sqrt{5}}$
Thus,
$\therefore\text{x}=\frac{-1\pm\sqrt{19}\text{ i}}{2\sqrt{5}}$

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

Find the constant term (term independent of x) in the expansion of

$\left(x-\frac{2}{x^2}\right)^{15}$

If $\frac{\text{z}-1}{\text{z}+1}$ is purely imaginary number $(\text{z}\neq-1),$ find the value of $|\text{z}|.$

Test the continuity of the following functions at the points or intervals indicated against them :
$f(x)=\frac{(27-2 x)^{\frac{1}{3}}-3}{9-3(243+5 x)^{\frac{1}{5}}}$, for $x \neq 0$
$=2 \quad \text { for } x=0, \text { at } x=0$

The radius of a circle is 30cm. Find the length of an arc of this circle, if the length of the chord of the arc is 30cm.

Find the equation of the circle which touches the axes and whose centre lies on $x - 2y = 3.$

Find the modulus and argument of each complex number and express it in the polar form :
$\frac{1+\sqrt{3} i }{2}$

If A = {1, 2, 3} and B = {2, 4}, what are A × B, B × A, A × A, B × B and $(\text{A}\times\text{B})\cap(\text{B}\times\text{A})?$

Find the equation of the circle passing through the points:
$(1, 2), (3, -4)$ and $(5, -6)$

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 orthocentre of the triangle the equations of whose sides are x + y = 1, 2x + 3y = 6 and 4x - y + 4 = 0.