Final answer to the problem
$x\geq 15$
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Step-by-step Solution
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- 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
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($-30$) to all terms
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$-30\left(x^2-5x-150\right)\geq 0$
Learn how to solve completing the square problems step by step online. Solve the inequality -30x^2+150x+4500>=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-30) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-5x+\frac{25}{4}. Simplify the addition \left(x- \frac{5}{2}\right)^2-150-\frac{25}{4}.
Final answer to the problem
$x\geq 15$
