Answer:
x = ±[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
We have been given the quadratic equation;
[tex]50-x^{2}=0[/tex]
The first step is to subtract 50 from both sides of the equation;
[tex]50-x^{2}-50=0-50[/tex]
[tex]-x^{2}=-50[/tex]
Multiplying both sides by -1 yields;
[tex]x^{2}=50[/tex]
The final step is to obtain square roots on both sides;
[tex]\sqrt{x^{2} }=\sqrt{50}\\x=+/-\sqrt{50}[/tex]
Therefore, x = ±[tex]5\sqrt{2}[/tex]
