Question

Find all real solutions for the equation -21n + n² = -98. Separate multiple

solutions with commas if necessary.

Answer 1

n=7, 14

Explanation:

-21n + n² = -98

n² - 21n = -98

n² - 21n + 98 = -98 + 98

n² - 21n + 98 = 0

n² - 7n - 14n + 98 = 0

n(n-7) - 14(n-7) = 0

(n-14)(n-7) = 0

n-14=0 ==> n=14

n-7=0 ==> n=7

n=7, 14