solve 7p + 3 over 5p = 2 - p over 5p

asked by guest
on Mar 16, 2025 at 7:45 am



You asked:

Solve the equation 7p+35p=2−p5p7 p + \frac{3}{5 p} = 2 - \frac{p}{5 p} for the variable pp.

MathBot Answer:

The 2 solutions to the equation are: p=970−339i70≈0.1285714‾−0.26302789ip=970+339i70≈0.1285714‾+0.26302789i\begin{aligned}p &= \frac{9}{70} - \frac{\sqrt{339} i}{70} \approx 0.1\overline{285714} -0.26302789 i\\p &= \frac{9}{70} + \frac{\sqrt{339} i}{70} \approx 0.1\overline{285714} + 0.26302789 i\end{aligned}

ii is the imaginary unit, defined as i2=−1i^2 = -1.

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