QUESTION IMAGE
Question
how many real - number solutions does the equation (x^{2}+12 = 0) have?
options: 2, 3, 4, none
Step1: Rearrange the equation
$x^2 = -12$
Step2: Analyze real number properties
For all real $x$, $x^2 \geq 0$
Step3: Compare with result
$-12 < 0$, so no real $x$ satisfies $x^2=-12$
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none