Final answer to the problem
$x<\frac{-\sqrt{2}+1+\sqrt{6}-\sqrt{2}\sqrt{3}}{5}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
Move everything to the left hand side of the equation
$\frac{x-1}{\sqrt{3}+\sqrt{2}}+\frac{x+1}{\sqrt{3}-\sqrt{2}}-2<0$
Learn how to solve problems step by step online.
$\frac{x-1}{\sqrt{3}+\sqrt{2}}+\frac{x+1}{\sqrt{3}-\sqrt{2}}-2<0$
Learn how to solve problems step by step online. Solve the inequality (x-1)/(3^(1/2)+2^(1/2))+(x+1)/(3^(1/2)-2^(1/2))<2. Move everything to the left hand side of the equation. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Simplify the numerators.
Final answer to the problem
$x<\frac{-\sqrt{2}+1+\sqrt{6}-\sqrt{2}\sqrt{3}}{5}$
