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Leviafan [203]
1 year ago
9

Solve the quadratic equation by completing the square.x^2-14x+46=0First choose the appropriate form and fill in the blanks with

the correct numbers. Then solve the equation. If there’s more than one solution, separate them with commas.

Mathematics
1 answer:
Kaylis [27]1 year ago
7 0

x² - 14x + 46 = 0

subtract 46 from both-side

x² - 14x = -46

Add the square of the half of the co-efficient of x

x² - 14x + (-7)² = -46 + 7²

(x-7)² = -46 + 49

(x-7)² =3

Take the square root of both-side

x-7 = ±√3

x-7= ±1.732

Add 7 to both-side of the equation.

x= 7 ± 1.732

Eithe x= 7 + 1.732 or x= 7 - 1.732

x=8.732 or x=5.268

Therefore x = 8.732 , 5.268

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rodikova [14]

Answer:

[see below]

Step-by-step explanation:

  • All natural numbers, whole numbers, integers, fractions (with integers), and numbers with terminating or repeating decimals are rational.
  • Irrational numbers cannot be written as fractions with integers. This includes non-germinating and non-repeating decimals.

Rational Numbers:

  • 0.8
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Irrational Numbers:

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Hope this helps.

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alternative form

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