3 years ago

How do i solve 19. c)

Mathematics

1 answer:

sladkih [1.3K]3 years ago

5 0

Answer:

n₁ = 8

n₂ = - 3

Step-by-step explanation:

√(7n + 25) - n = 1

√(7n + 25) = n + 1

[√(7n + 25)]² = (n + 1)²

7n + 25 = n² + 2n + 1

n² + 2n + 1 - 7n - 25 = 0

n² - 5n - 24 = 0

n² + 3n - 8n - 24 = 0

n(n + 3) - 8(n + 3) = 0

(n - 8)(n + 3) = 0

n - 8 = 0 => n₁ = 8

n + 3 = 0 => n₂ = - 3

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