Question
Solve the following quadratic equation.
m2 + 5m + 5 = 0
m2 + 5m + 5 = 0
✓
Answer
$\begin{array}{l}m^2+5 m+5=0 \text { compare with } a x^2+b x+c=0 \\ \Rightarrow a=1, b=5 \text { and } c=5 \\ \therefore b^2-4 a c=5^2-4(1)(5) \\ =25-20 \\ =5 \\ x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} \\ \Rightarrow x=\frac{-5 \pm \sqrt{5}}{2 \times 1}\end{array}$
$\begin{array}{l}\Rightarrow x=\frac{-5 \pm \sqrt{5}}{2} \\ \Rightarrow x=\frac{-5+\sqrt{5}}{2} \text { or } x=\frac{-5-\sqrt{5}}{2}\end{array}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Calculate the median from the following data:
|
Height (in cm)
|
135-140
|
140-145
|
145-150
|
150-155
|
155-160
|
160-165
|
165-170
|
170-175
|
|
No. of boys
|
6
|
10
|
18
|
22
|
20
|
15
|
6
|
3
|
The radii of the ends of a bucket $30\ cm$ high are $21\ cm$ and $7\ cm$. Find its capacity in litres and the amount of sheet required to make this bucket.
→Find a relation between $x$ and $y$, if the points $A(x, y), B(-5, 7)$, and $C(-4, 5)$ are collinear.
→A bag contains 3 red balls and 5 black balls. A ball is draw at random from the bag. What is the probability that the ball drawn is:
- Red?
- Not red?
In the following figure, O is the centre of a circular arc and AOB is a straight line.
Find the perimeter and the area of the shaded region correct to one decimal place. $\big(\text{Take }\pi=3.142\big)$
→Find the perimeter and the area of the shaded region correct to one decimal place. $\big(\text{Take }\pi=3.142\big)$
The following table shows the classification of number of vehicles and their speeds on Mumbai-Pune express way. Find the median of the data.
A man borrows ₹ 8000 and agrees to repay with a total interest of ₹ 1360 in 12 monthly instalments. Each instalment being less than the preceding one by ₹ 40. Find the amount of the first and last instalment.
Evaluate the following:
$\frac{\sin30^\circ-\sin90^\circ+2\cos0^\circ}{\tan30^\circ\tan60^\circ}$
→$\frac{\sin30^\circ-\sin90^\circ+2\cos0^\circ}{\tan30^\circ\tan60^\circ}$
How many terms of the A.P. 16, 14, 12, ..... Are needed to given the sum 60? Explain why we get two answers.
Find three numbers in AP whose sum is $15$ and product is $80$.
Hint: Let the numbers be $(a - d), a, (a + d).$
→Hint: Let the numbers be $(a - d), a, (a + d).$