The quadratic formula is x= -b +/- √b²-4ac / 2a
In this problem,
a=6
b=4
c=-3
Now, we can plug this into the formula:
x= -4 +/- √4²-(4)(6)(-3) / (2)(6)
x= -4 +/- √16+72 / 12
x= -4 +/- √88 /12
x= -4 +/- 2√22 /12
x= -2 +/- √22 / 6
So,
x= -2 + √22 / 6
x= -2 - √22 / 6
1024 is the answer to this problem.
X- the miles Hans is driving
51,96+0,12*x=45,96+0,14*x
51,96-45,96=0,14x-0,12x
6=0,02x
x=6:0,02
x=300 miles
X/4 - 3
(*make sure to write the division in fraction form as shown for algebraic notation)
