Question

Write 16x^2 + 25y^2 - 32x -159 =0 In standard form

Answer 1

$16x^2 + 25y^2 - 32x -159 =0:x$ 

Solve by using Quadratic Formula

$x= \dfrac{-b+ \sqrt{b^2-4ac} }{2a}, \dfrac{-b- \sqrt{b^2-4ac} }{2a}$ 

In this case, $a=16$,$b=-32$ and $c=25{y}^{2}-159$

$x= \dfrac{32+ \sqrt{(32)^2-4*16(25y^2-159)} }{2*16} ,}$$\dfrac{32- \sqrt{(32)^2-4*16(25y^2-159)} }{2*16}$ 

$x= \dfrac{32+40i \sqrt{y^2-7} }{32} , \dfrac{32-40i \sqrt{y^2-7} }{32}$ 

$x=1+ \dfrac{5i \sqrt{y^2-7} }{4} ,1- \dfrac{5i \sqrt{y^2-7} }{4}$