Multiple Choice Question (MCQ)
What is the solution set to the equation 4+x^2=2x^25 ?

×
\{x:x=3\}

×
\{x:x=3\}

✓
\{x:x=\pm3\}

×
\{x:x=1\}

×
\{x:x=1\}
What is the solution set to the equation 4+x^2=2x^25 ?
\{x:x=3\}
\{x:x=3\}
\{x:x=\pm3\}
\{x:x=1\}
\{x:x=1\}
A solution set is the set of variables that makes the equation true. For a quadratic equation, it has either 2 duplicate roots(1 solution) or distinct roots.
Solving the equation gives
4+x^2=2x^25
x^2=9
Taking the square roots
x=\pm3
It turns out the equation has two distinct solutions. So the solution set of the equation is \{x:x=\pm3\} .
C is the correct choice.