Coolnewman06
contestada

If using the method of completing the square to solve the quadratic equation x^2-11x-14=0, which number would have to be added to "complete the square"?

Respuesta :

beinggreat78

Answer:

(11/2)² also known as 30.25

Using the (b/2)² formula, we can base this problem off of that method to solve the equation.

Step-by-step explanation:

(x - 11/2)² - 177/4 = 0 ⇒ Completing the square

Answer:

30.25

Step-by-step explanation:

Solving :

  • x² - 11x - 14 = 0
  • To complete the square, we need to add and subtract a specific number (n²)
  • The middle term in a perfect square trinomial is : 2ab
  • Hence, 2(1)(n) = -11
  • ⇒ n = 11/2 = -5.5
  • Therefore, the number which has to be added (and subtracted) is :
  • ⇒ (-5.5)²
  • ⇒ 30.25

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