[tex]16x^2 + 25y^2 - 32x -159 =0:x[/tex]
Solve by using Quadratic Formula
[tex]x= \dfrac{-b+ \sqrt{b^2-4ac} }{2a}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}[/tex]
In this case, [tex]a=16[/tex],[tex] b=-32[/tex] and [tex]c=25{y}^{2}-159[/tex]
[tex]x= \dfrac{32+ \sqrt{(32)^2-4*16(25y^2-159)} }{2*16} ,}[/tex][tex]\dfrac{32- \sqrt{(32)^2-4*16(25y^2-159)} }{2*16}[/tex]
[tex]x= \dfrac{32+40i \sqrt{y^2-7} }{32} , \dfrac{32-40i \sqrt{y^2-7} }{32} [/tex]
[tex]x=1+ \dfrac{5i \sqrt{y^2-7} }{4} ,1- \dfrac{5i \sqrt{y^2-7} }{4} [/tex]
