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diamong [38]
2 years ago
8

HELP PLEASE!!

- 5" alt="6x ^{2} - 13x - 5" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
katrin [286]2 years ago
8 0

Answer:

x = 5/2 and x = -1/3

Step-by-step explanation:

6x^{2}  - 13x - 5\\=x^{2} - \frac{13x}{6} - \frac{5}{6}\\=(x^2 - 2*x*\frac{13}{12} + \frac{169}{144}) - \frac{289}{144} \\So: (x - \frac{13}{12} )^2 = \frac{289}{144} \\ \\First situation: x -\frac{13}{12} = \sqrt{\frac{289}{144} } = \frac{17}{12} \\So : x = \frac{17}{12} + \frac{13}{12} = \frac{5}{2} \\\\Second situation: x - 13/12 = -\sqrt{\frac{289}{144} }  = -\frac{17}{12} \\So : x = -\frac{17}{12} + \frac{13}{12} = \frac{-1}{3} \\\\In conclusion, x =\frac{5}{2} and x = \frac{-1}{3} \\Brainliest? It costs me about 20 min :(

JulsSmile [24]2 years ago
3 0
Answer in a different form or solutions?
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