What is the answer to i(x)=|2y+5| ?

The answer to i(x)=|2y+5| is x=0,y=-5/2

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i(x)=|2y+5|

i (x) = ∣ 2 y + 5 ∣

x = 0, y = - \frac{5}{2}

Solution steps

i (x) = ∣ 2 y + 5 ∣

Rewrite

i (x)

in standard complex form:

0 + x i

0 + x i = ∣ 2 y + 5 ∣

Rewrite

∣ 2 y + 5 ∣

in standard complex form:

∣ 2 y + 5 ∣ + 0 i

0 + x i = ∣ 2 y + 5 ∣ + 0 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[0 = ∣ 2 y + 5 ∣ x = 0]

[0 = ∣ 2 y + 5 ∣ x = 0] : x = 0, y = - \frac{5}{2}

x = 0, y = - \frac{5}{2}

(a + bi)^{2} + 2 (a - bi) + 1 = 0

m, y = (x - 3)^{2} minim o

z, \frac{z}{1 - z} = 1 - 5 i

2 - i x - y = 0

x^{2} - (2 - i) x + (3 - i) = 0