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padilas [110]
2 years ago
8

Write an exponential

Mathematics
1 answer:
Alina [70]2 years ago
5 0

Answer:

yes

Step-by-step explanation:

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Complete the Square:<br> 5x^2+16x-40=8<br> (please show your steps)
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Answer:

Step-by-step explanation:

divide through by the coefficient of x^{2}

\frac{5x^{2} }{5} + \frac{16x}{5}  + \frac{-40}{5} = \frac{8}{5}

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x^{2} +\frac{16}{5} x = \frac{8}{5}  +8

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Add half of the square of the coefficient of x  to both sides (\frac{1}{2}  X \frac{16}{5} ) ^{2}

x^{2}  + \frac{16}{5}x + (\frac{1}{2}  X \frac{16}{5} )^{2} = \frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}

x^{2}  +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}

(x +\frac{16}{10})^{2}    =\frac{304}{25}

x +\frac{16}{10} =±\sqrt{\frac{304}{25} }

x = -\frac{16}{10} ± \sqrt{\frac{304}{25} }

x=-\frac{16}{10}  + \sqrt{\frac{304}{25} } or-\frac{16}{10}  - \sqrt{\frac{304}{25} }

x = 1.89 or -5.09

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