10x-1/x =3 find the value of x
manyaarora2311205:
is x is also below 10x
Answers
Answered by
17
Answer :-
↓ ↓ ↓ ↓
step by step explanation..
↓↓↓↓
→ 10x -- 1 = 3
x
→ Taking L.C.M
→ 10x² -- 1 = 3
x
→ 10x² -- 1 = 3 × x
→ 10x² -- 1 = 3x
→ 10x² -- 3x + 1 = 0
→10x² -- 5x + 2x -- 1 = 0
• Taking Common
→ 5x ( 2x -- 1 ) + 1 ( 2x -- 1 ) = 0
→ ( 5x + 1) (2x -- 1 ) = 0
→ 5x + 1 = 0
x = -- 1/5
• 2x -- 1 = 0
x = 1/2
° Hope it help you •
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Answered by
7
Step-by-step explanation:
10x -- 1/x = 3
L.C.M
10x ² -- 1 = 3x
10x² -- 3x = 1
10x² -- 3x -- 1 = 0
10x² -- 5x + 2x -- 1 = 0
5x [ 2x -- 1 ] + 1 [ 2x -- 1 ] = 0
[ 5x + 1 ] [ 2x -- 1 ] = 0
5x + 1 = 0 ! 2x -- 1 = 0
5x = -- 1 ! 2x = 1
x = -- 1/5 ! x = 1/2
I hope it help you....
^___^
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