(y-3/4)^2=17/16

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Solution for (y-3/4)^2=17/16 equation:


y in (-oo:+oo)

(y-(3/4))^2 = 17/16 // - 17/16

(y-(3/4))^2-(17/16) = 0

(y-3/4)^2-17/16 = 0

(16*(y-3/4)^2)/16-17/16 = 0

16*(y-3/4)^2-17 = 0

16*y^2-24*y-8 = 0

16*y^2-24*y-8 = 0

8*(2*y^2-3*y-1) = 0

2*y^2-3*y-1 = 0

DELTA = (-3)^2-(-1*2*4)

DELTA = 17

DELTA > 0

y = (17^(1/2)+3)/(2*2) or y = (3-17^(1/2))/(2*2)

y = (17^(1/2)+3)/4 or y = (3-17^(1/2))/4

8*(y-((3-17^(1/2))/4))*(y-((17^(1/2)+3)/4)) = 0

(8*(y-((3-17^(1/2))/4))*(y-((17^(1/2)+3)/4)))/16 = 0

(8*(y-((3-17^(1/2))/4))*(y-((17^(1/2)+3)/4)))/16 = 0 // * 16

8*(y-((3-17^(1/2))/4))*(y-((17^(1/2)+3)/4)) = 0

( y-((17^(1/2)+3)/4) )

y-((17^(1/2)+3)/4) = 0 // + (17^(1/2)+3)/4

y = (17^(1/2)+3)/4

( y-((3-17^(1/2))/4) )

y-((3-17^(1/2))/4) = 0 // + (3-17^(1/2))/4

y = (3-17^(1/2))/4

y in { (17^(1/2)+3)/4, (3-17^(1/2))/4 }

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