Question

n²-11n + 19= -5
someone please factorise the above equation .. _/\_ ☺​

Answer 1

Answer :-

Factorise the equation.

1. n² - 11n + 19 = -5

Transposing (-5) to the other side,

=> n² - 11n + 19 + 5 = 0

=> n² - 11n + 24 = 0

=> n² - (8 + 3)n + 24 = 0

=> n² - 8n - 3n + 24 = 0

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

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

.°. Either, (n - 3) = 0 or, (n - 8) = 0

Solving both the terms,

=> n - 3 = 0

=> n = 3

______________

=> n - 8 = 0

=> n = 8

Hence, the value of n is 3 or 8.

Answer 2

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