Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
<u>Answer:-</u>The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
<em>Additional</em><em> comment</em><em>:</em>
- The conjugate of a+ib is a-ib and
- i = -1
- (a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².
Answer:
y = - 2
Step-by-step explanation:
Locate x = 2 on the x- axis, go vertically down to meet the graph at (2, - 2 )
Then when x = 2, y = - 2
Step-by-step explanation:
Simple
The percent of bus and car is 35
So 35% x 1500 = 525
Total bus and car students are 525
Answer:
Rate of interest = 10.95%
Step-by-step explanation:
Given:
Amount deposit in bank = 25,000
Number of year = 60 year - 40 year = 20 year
Future value = 200,000
Find:
Rate of interest
Computation:
A = P[1+r]ⁿ
Future value = Amount deposit in bank[1+Rate of interest]ⁿ
200,000 = 25,000[1+r]²⁰
8 = [1+r]²⁰
1.1095 = 1 + Rate of interest
Rate of interest = 0.1095
Rate of interest = 10.95%
