To find the number of real number solutions for the equation \( x^2 - 18 = 0 \), we can proceed by solving it step-by-step.
First, set the equation to zero:
\[ x^2 - 18 = 0 \]
Next, add 18 to both sides to isolate \( x^2 \):
\[ x^2 = 18 \]
Now, solve for \( x \) by taking the square root of both sides:
\[ x = \pm\sqrt{18} \]
The square root of 18 can be simplified as:
\[ \sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2} \]
So, the solutions are:
\[ x = 3\sqrt{2} \]
\[ x = -3\sqrt{2} \]
Therefore, there are 2 real number solutions for the equation \( x^2 - 18 = 0 \).
So, the correct answer is:
2
8.
Find the number of real number solutions for the equation.
x2 − 18 = 0
1
0
2
1 answer