Final answer to the problem
$-2\left(x-\frac{5}{4}\right)^2-2\cdot \left(\frac{1}{2}-\frac{25}{16}\right)$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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)
- Load more...
Can't find a method? Tell us so we can add it.
1
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
Learn how to solve completing the square problems step by step online.
$-2\left(x^2-\frac{5}{2}x+\frac{1}{2}\right)$
Learn how to solve completing the square problems step by step online. Factor the expression -2x^2+5x+-1. 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{5}{2}x+\frac{25}{16}. Multiply the fraction and term in - \frac{5}{4}.
Final answer to the problem
$-2\left(x-\frac{5}{4}\right)^2-2\cdot \left(\frac{1}{2}-\frac{25}{16}\right)$
