Answer:
The answer is (-6 + √41), (-6 – √41)
Step-by-step explanation:
We are given an equation
Subtract 5 from both side we get,
x² + 12x – 5 = 5 – 5
x² + 12x – 5 = 0
we get the equation in the form of
Here, a = 1, b = 12, c = (-5)
Now, Add and subtract (b/2a)² we get,
x² + 12x + (12/2)² – (12/2)² – 5 = 0
x² + 12x + (6)² – (6)² – 5 = 0
(x + 6)² – 36 – 5 = 0
(x + 6)² – 41 = 0
Now, add 41 both side we get,
(x + 6)² – 41 + 41 = 0 + 41
(x + 6)² = 41
√(x + 6)² = √41
x + 6 = ±√41
x = -6 + √41, -6 – √41
Thus, The roots of the equation is
(-6 + √41) and (-6 – √41).
-TheUnknownScientist 72
