Question

4x^5/2x^2+5=59 please help ​

Answer 1

Answer:

${ \tt{ \frac{4 {x}^{5} }{2 {x}^{2} + 5 } = 59 }}$

Cross multiply the variables:

${ \tt{4 {x}^{5} = 59(2 {x}^{2} + 5)}} \\ { \tt{4 {x}^{5} = 118 {x}^{2} + 295}} \\ { \tt{4 {x}^{5} - 118 {x}^{2} = 295}}$

Factorise the equation:

${ \tt{ {x}^{2}(4 {x}^{3} - 118) = 295 }}$

Either x² or ( 4x³ - 118 ) is equal to 295:

For x²:

${ \tt{ {x}^{2} = 295}} \\ { \tt{first \: answer : \: x =17.2 }}$

For ( 4x³ - 118 ):

${ \tt{4 {x}^{3} = 413 }} \\ { \tt{ {x}^{3} = 103.25}} \\ { \tt{second \: answer : \: x = 4.7 }}$