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Solve the rational equation $\frac{x^3}{\sqrt{x^2+5}}x=5\tan\left(t\right)$

Step-by-step Solution

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Solution

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  • Solve for x
  • Solve for t
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
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  • Factor by completing the square
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$\frac{2x+3}{3x}=\frac{x}{2x-3}$

$\frac{x+1}{x-2}=\frac{x-3}{x}$

$\frac{x}{2}=\frac{8}{x}$

Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

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