what are the solution(s) to the quadratic equation (50 - x^{2}=0)?\n(x=pm2sqrt{5})\n(x=pm6sqrt{3})\n(x=pm5sqr…

what are the solution(s) to the quadratic equation (50 - x^{2}=0)?\n(x=pm2sqrt{5})\n(x=pm6sqrt{3})\n(x=pm5sqrt{2})\nno real solution

what are the solution(s) to the quadratic equation (50 - x^{2}=0)?\n(x=pm2sqrt{5})\n(x=pm6sqrt{3})\n(x=pm5sqrt{2})\nno real solution

Answer

Explanation:

Step1: Isolate (x^{2})

Given (50 - x^{2}=0), add (x^{2}) to both sides: (x^{2}=50)

Step2: Solve for (x)

Take the square root of both sides. Since (\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}) ((a = 25), (b = 2)) and (x=\pm\sqrt{50}), then (x=\pm\sqrt{25\times2}=\pm\sqrt{25}\times\sqrt{2}) (x = \pm5\sqrt{2})

Answer:

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