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3 years ago

FIND x : x+(x+1)+(x+2)=(x+1)^2 A. 1 B. 0 C. 3 D. 2

Mathematics

2 answers:

Over [174]3 years ago

6 0

Answer:

x = - 1, x = 2

Step-by-step explanation:

Given

x + (x + 1) + (x + 2) = (x + 1)² ← expand using FOIL , then

x + x + 1 + x + 2 = x² + 2x + 1 , that is

3x + 3 = x² + 2x + 1 ( subtract 3x + 3 from both sides )

0 = x² - x - 2 ← in standard form

0 = (x - 2)(x + 1) ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 2 = 0 ⇒ x = 2

inysia [295]3 years ago

5 0

Answer:

Step-by-step explanation:

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