Final answer to the problem
$x>\frac{\sqrt{65}-5}{4}$
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Step-by-step Solution
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- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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- Weierstrass Substitution
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1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms
$2\left(x^2+\frac{5}{2}x-\frac{5}{2}\right)>0$
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$2\left(x^2+\frac{5}{2}x-\frac{5}{2}\right)>0$
Learn how to solve problems step by step online. Solve the inequality 2x^2+5x+-5>0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{5}{2}x+\frac{25}{16}. Divide both sides of the inequation by 2.
Final answer to the problem
$x>\frac{\sqrt{65}-5}{4}$
