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Goshia [24]
3 years ago
14

Using quadratic equation:help me solve it

D%203" id="TexFormula1" title="10x - \frac{1}{x } = 3" alt="10x - \frac{1}{x } = 3" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

10x -  \frac{1}{x}  = 3 \\ 10x = 3 +  \frac{1}{x}  \\ 10x =  \frac{3x + 1}{x}  \\ 10x \times x = 3x + 1 \\ 10 {x}^{2}  = 3x + 1 \\ 10 {x}^{2}  - 3x - 1 = 0 \\ 10 {x}^{2}  - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\  \\ 5x + 1 = 0 \\ 5x =  - 1 \\ x =  \frac{ - 1}{5}  \\  \\ 2x - 1 = 0 \\ 2x = 1 \\ x =  \frac{1}{2}

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>

<em>Have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

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