Hey there! We receieved your request
Stay Tuned as we are going to contact you within 1 Hour
One of our academic counsellors will contact you within 1 working day.
Click to Chat
1800-5470-145
+91 7353221155
Use Coupon: CART20 and get 20% off on all online Study Material
Complete Your Registration (Step 2 of 2 )
Sit and relax as our customer representative will contact you within 1 business day
OTP to be sent to Change
x2 + 1 = 0
⟹ x2 + i2 = 0 [∵ i2 = – 1]
⟹ (x + i)(x - i) = 0 [a2 - b2 = (a + b)(a - b)]
⟹ x = i, -i
9x2 + 4 = 0
⟹(3x)2 - (2i)2 = 0 [∵ i2 = – 1]
⟹ (3x + 2i)(3x – 2i) = 0
⟹ 3x + 2i = 0 or 3x = 2i = 0
x2 + 2x + 5 = 0
Now, completing the squares, we get
(x + 1)2 + 4 = 0
⟹ (x + 1)2 - 2i2 = 0
⟹ (x + 1 + 2i)(x + 1 - 2i) = 0
⟹ (x + 1 + 2i) = 0 or (x + 1 - 2i) = 0
∴ x = – 1 – 2i, – 1 + 2i
4x2 - 12x + 25 = 0
⟹ (2x – 3)2 - 4i2 = 0
⟹ (2x – 3 + 4i) (2x – 3 - 4i) = 0
⟹ (2x – 3 + 4i) = 0 or (2x – 3 – 4i) = 0
x2 + x + 1 = 0
4x2 + 1 = 0
⟹(2x)2 - i2 = 0 [ ∵ i2 = – 1]
⟹(2x + i)(2x – i) = 0
⟹ either 2x + i = 0 or 2x – i = 0
x2 - 4x + 7 = 0
We will apply discriminant rule,
Where D = b2 - 4ac =(-4)2 - 4.1.7 = – 12
from (A)
x2 + 2x + 2 = 0
Where D = b2 - 4ac
= 22 - 4.1.2
= 4 – 8
= – 4
5x2 - 6x + 2 = 0
=(-b)2 - 4.5.2
= 36 – 40
21x2+ 9x + 1 = 0
Comparing the given equation with the general form
ax2 + bx + c = 0, we get a = 21, b = 9, c = 1
Substituting a and b in,
x2 - x + 1 = 0
=(-1)2 - 4.1.1
=1 – 4
= – 3
=12 - 4.1.1
17x2 - 8x + 1 = 0
=(-8)2 - 4.17.1
= 64 – 68
27x2 - 10x + 1 = 0
= (-10)2- 4.27.1
=100 – 108
= – 8
Get your questions answered by the expert for free
You will get reply from our expert in sometime.
We will notify you when Our expert answers your question. To View your Question
Chapter 14: Quadratic Equations – Exercise...