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2 years ago

X2-11x+18=0 need help!

Mathematics

2 answers:

KengaRu [80]2 years ago

6 0

Answer:

x = 2 or

x = 9

Step-by-step explanation:

x² - 11x + 18 = 0

x² - 9x - 2x + 18 = 0

x(x - 9) - 2(x - 9) = 0

(x - 2)(x - 9) = 0

x - 2 = 0 or x - 9 = 0

x = 2 or x = 9

Thus, x = 2 or 9

-TheUnknownScientist

yulyashka [42]2 years ago

5 0

Answer:

x = 2, x = 9

Step-by-step explanation:

Given

x² - 11x + 18 = 0

Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)

The factors are - 2 and - 9 , since

- 2 × - 9 = + 18 and - 2 - 9 = - 11 , thus

(x - 2)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 9 = 0 ⇒ x = 9

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