The system of equations y=-1/2x+4 and y = 2x – 1 is shown on the graph below. According to the graph, what is the solution to th
is system of equations?
A. (2, 3)
B. (3, 2)
C. (–1, 4)
D. (4, –1)
A. (2, 3)
B. (3, 2)
C. (–1, 4)
D. (4, –1)
2 answers:
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Let the given complex number
z = x + ix =
We have to find the standard form of complex number.
Solution:
∴ x + iy =
Rationalising numerator part of complex number, we get
x + iy =
⇒ x + iy =
Using the algebraic identity:
(a + b)(a - b) = -
⇒ x + iy =
⇒ x + iy = [ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".
Hope this helps. - M