SOLUTION: Determine the nature of the solutions of the equation x^2-18=0. Does it have 1 solution, 2 imaginary solutions, or 2 real solutions? Thank you!

Question 221485: Determine the nature of the solutions of the equation x^2-18=0. Does it have 1 solution, 2 imaginary solutions, or 2 real solutions?
Thank you!
Found 2 solutions by user_dude2008, jim_thompson5910:
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
2 real solutions
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

From we can see that , , and

Start with the discriminant formula.

Plug in , , and

Square to get

Multiply to get

Rewrite as

Add to to get

Since the discriminant is greater than zero, this means that there are two real solutions.

RELATED QUESTIONS
6t^2-7t=0 Determine the nature of the solutions of the equation. Does this have 2... (answered by jim_thompson5910)
Determine the nature of the solutions of the equation. x^2 + 3 = 0 Does it have: (answered by solver91311)
Determine the nature of the solutions of the equations. x^2 - 6 = 0 Choose the... (answered by neatmath)
Determine the nature of the solutions of the equation. 2t^2-7t=0. Are there 2 imaginary... (answered by mananth)
4t^2-7t=0 Determine the nature of solutions choose from 2 real solutions 1 real... (answered by ewatrrr)
Determine the nature of the solution of the equation. x^2+6=0 A) 2 real solutions B) 2 (answered by Fombitz)
Determine the nature of the solutions of the equation x2-4=0. A: 1 real solution... (answered by jsmallt9)
Determine the nature of the solution of the equation. 7t^2-8t=0 A) 2 real solutions B) (answered by solver91311)
determine the nature of the solutions of the equation t^2-6t=0 A) 2 real solutions... (answered by solver91311)