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matrenka [14]
3 years ago
5

Simplify (11 + 5i)(11 - 51)

Mathematics
2 answers:
Ede4ka [16]3 years ago
7 0

Answer:

 (146 +  0i)

Step-by-step explanation:

(11+5i)(11-5i)

The formula is :

(a+bi) • (x+yi)  = ax+by•i^2+(ay+bx)i

and since  i^2 = -1  it can be written as :

ax - by + (ay + bx) i

( 11 +  5i) • ( 11 -  5i) =

 (146 +  0i)

hope this helped brainlest owo???

mixas84 [53]3 years ago
3 0

Answer:

146

Step-by-step explanation:

(11 + 5i)(11 - 5i) =

Use the product of a sum and a difference, (a + b)(a - b) = a^2 - b^2.

= 11^2 - (5i)^2

= 121 - (25)(i^2)

= 121 - (25)(-1)

= 121 - (-25)

= 121 + 25

= 146

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3x + 2y = 8<br> 5x + 2y = 12
Keith_Richards [23]

Answer:

Step-by-step explanation:

We can solve this in either of two ways.  I'll do both.

<u>Mathematically</u>

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Rewrite either equation to isolate y.  I'll use

3x + 2y = 8

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Use x=2 to find y:

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y = (8-3*(2))/2

y = (8-6)/2

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The point is (2,1)

<u>Graphically</u>

Graph the two equations and find the point they intersect.  See attachment.  

We obtain the same answer:  (2,1)

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