Final answer to the problem
$y=\frac{36\left(x-\frac{5}{6}\right)^2-13}{12}$
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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
Learn how to solve completing the square problems step by step online.
$y=3\left(x^2-\frac{5}{3}x+\frac{1}{3}\right)$
Learn how to solve completing the square problems step by step online. Solve the equation y=3x^2-5x+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. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{5}{3}x+\frac{25}{36}. Multiply the fraction and term in - \frac{5}{6}.
Final answer to the problem
$y=\frac{36\left(x-\frac{5}{6}\right)^2-13}{12}$
