Question

Express the roots of the equation -6x=2x^2+5 in simplest a+bi form?

Answer 1

`x=-3/2+-1/2i`

Explanation:

`-6x=2x^2+5`

`rArr2x^2+6x+5=0larrcolor(blue)"in standard form"`

`"with "a=2,b=6" and "c=5`

`"solve using the "color(blue)"quadratic formula"`

`x=(-6+-sqrt(36-40))/4`

`color(white)(x)=(-6+-sqrt-4)/4=(-6+-2i)/4`

`rArrx=-3/2+-1/2i`