Final answer to the problem
$y=\left(x+\frac{1}{2}\right)^2+\frac{3}{4}$
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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
Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
$y=x^2+x+1+\frac{1}{4}-\frac{1}{4}$
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$y=x^2+x+1+\frac{1}{4}-\frac{1}{4}$
Learn how to solve problems step by step online. Solve the equation y=x^2+x+1. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+x+\frac{1}{4}. Calculate the power \sqrt{\frac{1}{4}}. Simplify the addition \left(x+\frac{1}{2}\right)^2+1-\frac{1}{4}.
Final answer to the problem
$y=\left(x+\frac{1}{2}\right)^2+\frac{3}{4}$
