Helppppppppppppppppppppppp Hi everyone PLEASE help me Very easy Explain in a easy way (3n-1)^2=12n+8 Guide= ^2 means squared

Question

asked Jun 4, 2021 234k views

1 Answer

Gunnar Steinn · Answer 1 · 2021-06-08T20:30:22+0000

Answer: n = 1, n = -1/3

Explanation:

(3n - 1)² = 12n + 8

9n² - 6n + 1 = 12n + 8

9n² - 18n - 7 = 0

Substitute -18n with 3n - 21n and find the common factor of each side:

9n² + 3n -21n - 7 = 0

3n(3n + 1) -3(3n + 1) = 0

(3n - 3) (3n + 1) = 0

Solve for each factor:

3n - 3 = 0 3n + 1 = 0

3n = 3 3n = -1

n = 1 n = -1/3