Exercise
$2x^2-x+10$
Step-by-step Solution
Learn how to solve completing the square problems step by step online. Factor the expression 2x^2-x+10. 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{1}{2}x+\frac{1}{16}. Simplify the addition \left(x- \frac{1}{4}\right)^2+5-\frac{1}{16}.
Factor the expression 2x^2-x+10
Final answer to the exercise
$2\left(x-\frac{1}{4}\right)^2+\frac{79}{8}$