X^2/4=100-(X-10)^2

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Solution for X^2/4=100-(X-10)^2 equation: 


X in (-oo:+oo)

(X^2)/4 = 100-(X-10)^2 // - 100-(X-10)^2

(X-10)^2+(X^2)/4-100 = 0

(4*(X-10)^2)/4+(X^2)/4+(-100*4)/4 = 0

4*(X-10)^2+X^2-100*4 = 0

5*X^2-80*X-400+400 = 0

5*X^2-80*X = 0

5*X^2-80*X = 0

5*X*(X-16) = 0

X-16 = 0 // + 16

X = 16

5*X*(X-16) = 0

(5*X*(X-16))/4 = 0

(5*X*(X-16))/4 = 0 // * 4

5*X*(X-16) = 0

( 5*X )

5*X = 0 // : 5

X = 0

( X-16 )

X-16 = 0 // + 16

X = 16

X in { 0, 16 }

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