Answer:
1) the quadratic formula
2) factoring (zero product property)
Explanation:
1) using quadratic formula
(b)² - 4ac ----(always write the formula)
3 ( 4x + 1 )² - 5 =25
(12x + 1)² - 5 = 25 (using (a+b)^2)
144x² + 24x +1 - 5 = 25
144x²+ 24x - 4 = 25
144x² + 24x =29
144x² + 24x - 29= 0 (thus, formed and equation)
A=144, b= 24, c= -29
(24)² - 4(144 X -29)
576 - 4 X -4176
576 + 16704=0
17280>0, therefore it has 2 distinct real roots
2) x²-8x+12=0
sum= -8, product= 12
-2,-6
so,
x²-2x -6x + 12
x ( x - 2 ) -6 ( x - 2 )
(x-2) (x-6)
X= 2, 6
Hope it is correct and helpful
Stay safe
sorry for the late answer