2x²+15/x²=13 solve it plz
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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.
:)
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.
:)
xtrime:
thanks alot......
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