Solve the following quadratic equation: `\ x^2-(3sqrt(2)-2i)x-sqrt(2)i=0`

Answer

`x=frac{3 sqrt{2}-2 i}{2}+frac{4+sqrt{2} i}{2}`

Explanation

Given:- `x^{2}-(3 sqrt{2}-2 i) x-sqrt{2} i=0`

we know,

`x=frac{-b pm sqrt{D}}{2 a} where D=b^{2}-4 a c`

for a geveral quadratic equation (a x^{2}+b x+c=0)

Now, let’s Calculate D:




`D=b^{2}-4 a c =(-(3 sqrt{2}-2 i))^{2}-4(1)(-sqrt{2}` —-- i)

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