Question12. Graph $f(x)=x^2+2$ . What is the solution set for $x^2+2=0$ ? A) $\{0\}$ B) $\{2\}$ C) $\{0,2\}$ D) No real solutions
13. Solve $x^2+4x+2=0$ . Round the greater solution to the nearest hundredth.
14. Solve $2x^2+3x-2=0$ . A) $\frac{1}{2}$ and -2 B) $-\frac{1}{2}$ and 2 C) 1 and -4 D) -1 and 4
15. What is a solution to $0=(x-3)(x+4)$ ?

Studdy Solution

STEP 1

Assumptions for Problem 12
1. The function given is $f(x) = x^2 + 2$ .
2. We are looking for the solution set of the equation $x^2 + 2 = 0$ .

STEP 2

Solve the equation $x^2 + 2 = 0$ by isolating $x^2$ .
$x^2 = -2$

STEP 3

Since $x^2$ is always non-negative for real numbers, there is no real number whose square is $-2$ . Therefore, there are no real solutions to the equation.
The solution set for the equation $x^2 + 2 = 0$ is: J No real solutions

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