Question

Find the solution set of the following equation in simplest a +bi form.

x² - 6x +12 =-10x+3
Please help quick

Answer 1

`-2\pm i√(5)`

Explanation:

`x^2-6x+12=-10x+3\\x^2+4x+9=0`

For the quadratic formula,
`a=1,\,b=4,\,c=9`.

`(-b \pm√(b^2-4ac))/(2a)=(-4\pm√(16-4(1)(9)))/(2(1))=(-4\pm√(-20))/(2)\\=(-4\pm 2√(-5))/(2)=-2\pm√(-5)=-2\pm i√(5)`