Download App

Quadratic Equations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsQuadratic Equations1 Mark
Question
Show the following quadratic equation by factorization method:
$\text{x}^2+2\text{x}+5=0$
✓

Answer

$x^2 + 2x + 5 = 0$
Now, completing the squares, we get
$(x + 1)^2 + 4 = 0$
$\Rightarrow (x + 1)^2 - 2i^2 = 0$
$\Rightarrow (x + 1 + 2i) (x + 1 - 2i) = 0$
$\Rightarrow (x + 1 + 2i) = 0$ or $(x + 1 - 2i) = 0$
$\therefore$ $x = -1 = 2i, -1 + 2i$

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.(1 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

Write the following statements in the form "if p, then q".
There is traffic jam whenever it rains.
→
Write the following statements in the form "if p, then q".
Whenever it rains it is cold.
→
The given collections are sets or not? Justify your answer:
The collection of most talented writers of India.
→
Write the number of arrangements of the letters of the word BANANA in which two N's come together.
→
$z_1=1+i_1 z_2=2-3 i$, verify the following:

$\overline{\left(\frac{ z _1}{ z _2}\right)}=\frac{\overline{ z }_1}{\overline{ z }_2}$

→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{x}^{\frac{2}{3}}-9}{{\text{x}}-27}$
→
Find the component statements of the following compound statements:
25 is a multiple of 5 and 8.
→
State, first three terms in the expansion of $(5+4 x)^{-1 / 2}$
→
Examine the continuity of :
$f(x) = x^3 + 2x^2 – x – 2$ at $x = -2$
→
If $\sin\alpha-\sin\beta=\text{a}$ and $\cos\alpha+\cos\beta=\text{b},$ then write the value of $\cos(\alpha+\beta).$
→