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Sagot :

Answer:

1) the quadratic formula

2) factoring (zero product property)

Step-by-step 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

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sorry for the late answer

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