Answer:
x = 4 and y = - 5
Step-by-step explanation:
note that the product of a complex number and it's conjugate is real
That is
(a + bi)(a - bi) where a, b are real
= a² - abi + abi - b²i²
= a² + b² ← a real number
For (4 + 5i)(x + yi) to be real
we require (x + yi) to be the conjugate of 4 + 5i , that is 4 - 5i
(4 + 5i)(4 - 5i) ⇒ x = 4 and y = - 5
Answer:
Step-by-step explanation:
Neither.
It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i
The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.
500 divide by 2=250
and 250*3=750
so the answer is 750
hopw it help you :)
Answer:
Ratio = 3:2:1
Let the Values be 3x:2x:x
3x+2x+x=180
=> 6x=180
=> x =180/6
=> x = 30
3×30=90
2×30=60
1×30=30