Question

What is the number of real solutions

-X^2-9=6x

Answer options
1. Cannot be determined
2. No real solutions
3. One solution
4. two solutions​

Answer 1

3. One solution

Explanation:

-x²-9 = 6x

or, x²+6x+9 = 0

or, x²+2.x.3+3² = 0 [using (a+b)² = a²+2ab+b²]

or, (x+3)² = 0

or, x+3 = 0

x = -3