Coolnewman06
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80 Points, please help!
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"?

80 Points please help If using the method of completing the square to solve the quadratic equation x211x140 which number would have to be added to complete the class=

Respuesta :

Answer:

±√177/2+11/2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square. Exact Form:x=±√177/2+11/2

x=12.15206734…,−1.15206734…

fieryanswererft

Answer:

30.25

Explanation:

Quadratic Equation: x² - 11x - 14 = 0

Number added = (b/2)² = (-11/2)² = 30.25

Solving Steps:

  • x² - 11x = 14

[add both sides by 30.25]

  • x² - 11x + 30.25 = 14 + 30.25

[complete square]

  • (x - 5.5)² = 44.25

[exchange sides]

  • (x - 5.5)² - 44.25 = 0

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