Solve the equation. \frac{1}{x}+6=\frac{5}{\sqrt{x}}

Chesley

Chesley

Answered question

2021-09-24

Solve the equation.
1x+6=5x

Answer & Explanation

Dora

Dora

Skilled2021-09-25Added 98 answers

Given,
1x+6=5x
Step 2
On simplification, we get
1+6xx=5x
1+6xxx=5x
1+6xx=5
1+6x=5x
(1+6x)2=(5x)2 [Squaring on both sides]
1+12x+36x2=25x
36x213x+1=0
36x29x4x+1=0
9x(4x1)(4x1)=0
(4x1)(9x1)=0
4x1=0 or 9x1=0
4x=1 or 9x=1
x=14 or x=19
Therefore solutions are,
x=14,19.

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