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2X * X + 3 = 100

do what it says; multiply

2X2 + 3 = 100

subtract 3 from each side

2X2 = 97

divide each side by 2

X2 = 97/2

take square root both sides

X = sqrt(97/2)

you could rationalize the denominator by this method, form of one

X = sqrt(97/2)

same as saying

X = sqrt(97)/sqrt(2) ( use sqrt(2)/sqrt(2) as form of one )

X = sqrt(97)/sqrt(2) * sqrt(2)/sqrt(2)

X = sqrt(194)/2

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