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= (-b+ √(b^2-4ac) )/(2a), (-b- √(b^2-4ac) )/(2a)`

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


`x= (32+ √((32)^2-4*16(25y^2-159)) )/(2*16) ,}`
`(32- √((32)^2-4*16(25y^2-159)) )/(2*16)`


`x= (32+40i √(y^2-7) )/(32) , (32-40i √(y^2-7) )/(32)`


`x=1+ (5i √(y^2-7) )/(4) ,1- (5i √(y^2-7) )/(4)`