Question

-2x² - 6x =15
Atenderes form

Answer 1

`\displaystyle x=-(3)/(2)\pm (√(21))/(2)i`

Explanation:

`\displaystyle -2x^2-6x=15\\0=2x^2+6x+15\\\\x=(-6\pm√(6^2-4(2)(15)))/(2(2))=(-6\pm√(36-120))/(4)=(-6\pm√(-84))/(4)=(-6\pm2i√(21))/(4)\\\\=-(3)/(2)\pm (√(21))/(2)i`

Answer 2

Step-by-step explanation:The solutions to the equation x^2=6x-15 are x=3+sqrt(6)i,x=3-sqrt(6)i