y-12=1/2(x-7)2

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Solution for y-12=1/2(x-7)2 equation: 


x in (-oo:+oo)

y-12 = (1/2)*(x-7)^2 // - (1/2)*(x-7)^2

y-((1/2)*(x-7)^2)-12 = 0

(-1/2)*(x-7)^2+y-12 = 0

y-1/2*(x-7)^2-12 = 0

y-1/2*(x-7)^2-12 = 0

7*x-1/2*x^2+y-49/2-12 = 0

7*x-1/2*x^2+y-73/2 = 0

7*x-1/2*x^2+y-73/2 = 0

7*x-1/2*x^2+y-73/2 = 0

DELTA = 7^2-(-1/2*4*(y-73/2))

DELTA = 2*(y-73/2)+49

2*(y-73/2)+49 = 0

2*(y-73/2)+49 = 0

2*y-24 = 0

2*y-24 = 0

2*y-24 = 0 // + 24

2*y = 24 // : 2

y = 24/2

y = 12

DELTA = 0  <=>  t_3 = 12

x = -7/(-1/2*2) i y = 12

x = 7 i y = 12

( x = ((2*(y-73/2)+49)^(1/2)-7)/(-1/2*2) or x = (-(2*(y-73/2)+49)^(1/2)-7)/(-1/2*2) ) i y > 12

( x = 7-(2*(y-73/2)+49)^(1/2) or x = (2*(y-73/2)+49)^(1/2)+7 ) i y > 12

y-12 > 0

y-12 > 0 // + 12

y > 12

x in { 7, 7-(2*(y-73/2)+49)^(1/2), (2*(y-73/2)+49)^(1/2)+7 }

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