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Doss [256]
3 years ago
12

Domain of f(x)= square root of 9x

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
I hope this helps you





f (x)=3 square root of x
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the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?
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n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6

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