Question 206189
{{{2x^2=100}}} Start with the given equation.



{{{x^2=(100)/(2)}}} Divide both sides by {{{2}}}.



{{{x^2=50}}} Reduce.



{{{x=""+-sqrt(50)}}} Take the square root of both sides.



{{{x=sqrt(50)}}} or {{{x=-sqrt(50)}}} Break up the "plus/minus" to form two equations.



{{{x=5*sqrt(2)}}} or {{{x=-5*sqrt(2)}}}  Simplify the square root.



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Answer:



So the solutions are {{{x=5*sqrt(2)}}} or {{{x=-5*sqrt(2)}}}.