0=(3-7i)(3-7i)

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Solution for 0=(3-7i)(3-7i) equation:



0=(3-7i)(3-7i)
We move all terms to the left:
0-((3-7i)(3-7i))=0
We add all the numbers together, and all the variables
-((-7i+3)(-7i+3))+0=0
We add all the numbers together, and all the variables
-((-7i+3)(-7i+3))=0
We multiply parentheses ..
-((+49i^2-21i-21i+9))=0
We calculate terms in parentheses: -((+49i^2-21i-21i+9)), so:
(+49i^2-21i-21i+9)
We get rid of parentheses
49i^2-21i-21i+9
We add all the numbers together, and all the variables
49i^2-42i+9
Back to the equation:
-(49i^2-42i+9)
We get rid of parentheses
-49i^2+42i-9=0
a = -49; b = 42; c = -9;
Δ = b2-4ac
Δ = 422-4·(-49)·(-9)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$i=\frac{-b}{2a}=\frac{-42}{-98}=3/7$

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