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# -16=-26,2t-1/2x9,8t^2

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9,8t-32/t=-54,4

Guest Sep 4, 2017
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-16=-26,2t-1/2x9,8t^2

9,8t-32/t=-54,4

$$-16= -26,2t -\frac{1}{2}\times 9,8t^2\\ \frac{1}{2}\times9,8t^2+26,2t-16=0\\ 4,9t^2+26,2t-16=0$$

a               b            c

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

$$x = {-26,2 \pm \sqrt{686,44-4\cdot 4,9\cdot (-16)} \over 2\cdot 4,9}$$

$$\color{black}x = \frac{-26,2\pm\sqrt{1000,04}}{9,8}\\ x_1=0,5534\\ x_2=-5,9$$

$$9,8t-\frac{32}{t}=-54,4$$

$$9,8t^2-32=-54,4t\\ 9,8t^2+54,4t-32=0$$

a              b            c

$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$

$$x = {-54,4 \pm \sqrt{2959,36-4\cdot 9,8\cdot (-32)} \over 2\cdot 9,8}$$

$$\color{black}x = \frac{-54,4\pm\sqrt{4213,76}}{19,6}\\ x_1=0,5364\\ x_2=-6,0874$$

!

asinus  Sep 4, 2017
edited by asinus  Sep 5, 2017
edited by asinus  Sep 5, 2017

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