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Darina [25.2K]
3 years ago
13

Which of the number is divisible to exactly 9 out of 115, 504,968,646, or 882

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0
The answer is 882 because if you divide 882 by 9 you get 98 and 98 time 9 is equal to 882 so therefore 882 is divisible by 9
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\begin{gathered} \text{Given} \\ 6x^2+13x-5=0 \end{gathered}

The given quadratic equation is already in the standard form with the following coefficients.

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\begin{gathered} x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a } \\ x = \frac{ -13 \pm \sqrt{13^2 - 4(6)(-5)}}{ 2(6) } \\ x=\frac{-13\pm\sqrt{169-(-120)}}{12} \\ x=\frac{-13\pm\sqrt{169+120}}{12} \\ x = \frac{ -13 \pm \sqrt{289}}{ 12 } \\ x = \frac{ -13 \pm 17\, }{ 12 } \end{gathered}

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\begin{gathered} x_1=\frac{-13+17\,}{12} \\ x_1=\frac{4}{12} \\ x_1=\frac{1}{3} \\  \\ x_2=\frac{-13-17\,}{12} \\ x_2=\frac{-30}{12} \\ x_2=-\frac{5}{2} \end{gathered}

Therefore, the solution to the given equation is

x=\frac{1}{3}\text{ and }x=-\frac{5}{2}

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