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Alina [70]
2 years ago
8

25x2 – 20x – 2 = -6

Mathematics
1 answer:
solniwko [45]2 years ago
7 0

hey,

25x^{2} - 20x -2 = -6 \\ 25x^{2} -20x -2 +6 = 0 \\ 25x^{2} -20x +4 =0 \\   \\ \Delta =  {b}^{2}  - 4 \times  a  \times c \\ \Delta ={( - 20)}^{2} - 4 \times 25 \times 4 \\ \Delta = 400 - 400 \\ \Delta = 0 \\  \\  \\ x =  \frac{ - b \:  \pm \sqrt{\Delta} }{2 \times a}  \\  \\ x =  \frac{ - ( - 20) \pm \: \sqrt{ \Delta} }{2 \times 25}  \\  \\ x =  \frac{20 \pm \sqrt{0} }{50} \\  \\ x =  \frac{20}{50}   =  \frac{2}{5}

\boxed{crsjr}

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