Question

2x²+15/x²=13 solve it plz

Answer 1

Hi ,

Let x² = a -----( 1 )

Now ,

Given equation can be written like

this ,

2a + 15/a = 13

( 2a² + 15 ) = 13a

2a² - 13a + 15 = 0

2a² - 3a - 10a + 15 = 0

a( 2a - 3 ) - 5( 2a - 3 ) = 0

( 2a - 3 ) ( a - 5 ) = 0

Therefore ,

2a - 3 = 0 or a - 5 = 0

a = 3/2 or a = 5

x² = 3/2 or x² = 5

x = ± √3/2 or x = ± √( 5 )

I hope this helps you.

:)