Question

Use factoring to solve for all the solutions of the quadratic equation. x^2 + 25=0

x=5i
x=-5i
x=+/-5
x=+/-5i

Answer 1

Answer: Answer is D

Answer 2

`\large\boxed{x=\pm5i}`

Explanation:

`i=√(-1)\to i^2=-1\\==========================\\\\x^2+25=0\qquad\text{subtract 25 from both sides}\\\\x^2=-25\to x=\pm√(-25)\\\\x=\pm√((-1)(25))\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\\\x=\pm√(-1)\cdot√(25)\\\\x=\pm i\cdot5\\\\x=\pm5i`