what are the solution(s) to the quadratic equation 50 - x² = 0?\no x = ±2√5\no x = ±6√3\no x = ±5√2\no no…

Explanation:

Step1: Isolate the $x^{2}$ term

Add $x^{2}$ to both sides of the equation $50 - x^{2}=0$. We get $x^{2}=50$.

Step2: Solve for $x$

Take the square - root of both sides. Since $x^{2}=50$, then $x=\pm\sqrt{50}$. Simplify $\sqrt{50}=\sqrt{25\times2}=5\sqrt{2}$. So $x = \pm5\sqrt{2}$.

Answer:

$x=\pm5\sqrt{2}$ (corresponding to the third option)