# Automaker

The automaker now produces daily 4 new cars more than last year so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles needed last year?

Correct result:

x =  10

#### Solution:

$360 = d \cdot x \ \\ 360 = (d+4) \cdot (x-1) \ \\ \ \\ d = 4 x - 4 \ \\ \ \\ x(4 x - 4) = 360 \ \\ 4x^2 -4x -360 =0 \ \\ \ \\ a=4; b=-4; c=-360 \ \\ D = b^2 - 4ac = 4^2 - 4\cdot 4 \cdot (-360) = 5776 \ \\ D>0 \ \\ \ \\ x_{1,2} = \dfrac{ -b \pm \sqrt{ D } }{ 2a } = \dfrac{ 4 \pm \sqrt{ 5776 } }{ 8 } \ \\ x_{1,2} = \dfrac{ 4 \pm 76 }{ 8 } \ \\ x_{1,2} = 0.5 \pm 9.5 \ \\ x_{1} = 10 \ \\ x_{2} = -9 \ \\ \ \\ \text{ Factored form of the equation: } \ \\ 4 (x -10) (x +9) = 0 \ \\ \ \\ \ \\ x>0 \ \\ x = 10 \ \\ d = 4 x - 4 = 4 10 - 4 = 36$ We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you! Tips to related online calculators
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