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Exercise

$56x^2-29x-195$

Step-by-step Solution

Learn how to solve completing the square problems step by step online. Factor the expression 56x^2-29x+-195. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (56) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{29}{56}x+\frac{841}{12544}. Multiply the fraction and term in - \frac{29}{112}.
Factor the expression 56x^2-29x+-195

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Final answer to the exercise

$56\left(x-\frac{29}{112}\right)^2-\frac{44521}{224}$

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  • Integrate by partial fractions
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  • FOIL Method
  • Integrate by substitution
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  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
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Main Topic: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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