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Exercise

$75x^2-75x-\:1$

Step-by-step Solution

Learn how to solve completing the square problems step by step online. Factor the expression 75x^2-75x+-1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (75) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-x+\frac{1}{4}. Multiply the fraction and term in - \frac{1}{2}.
Factor the expression 75x^2-75x+-1

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Final answer to the exercise

$75\left(x-\frac{1}{2}\right)^2-\frac{79}{4}$

Try other ways to solve this exercise

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  • 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)
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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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