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Exercise

$49x^2+70x-25$

Step-by-step Solution

Learn how to solve completing the square problems step by step online. Factor the expression 49x^2+70x+-25. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (49) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{10}{7}x+\frac{25}{49}. Combine fractions with common denominator 49.
Factor the expression 49x^2+70x+-25

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Final answer to the exercise

$-50+49\left(x+\frac{5}{7}\right)^2$

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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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