Final answer to the problem
$y=\frac{36\left(x+\frac{5}{6}\right)^2+71}{12}$
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Step-by-step Solution
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- Differential
- Find the derivative
- Find the integral
- Find the derivative using the definition
- Solve by quadratic formula (general formula)
- Simplify
- Find the integral
- Find the derivative
- Factor
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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 $a$ ($3$) to all terms
$y=3\left(x^2+\frac{5}{3}x+\frac{8}{3}\right)$
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$y=3\left(x^2+\frac{5}{3}x+\frac{8}{3}\right)$
Learn how to solve problems step by step online. Solve the equation y=3x^2+5x+8. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (3) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{5}{3}x+\frac{25}{36}. 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.
Final answer to the problem
$y=\frac{36\left(x+\frac{5}{6}\right)^2+71}{12}$
