zelles5335 zelles5335
  • 16-07-2018
  • Mathematics
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Fifteen times the square of a non-zero number is equal to 20 times number.What is the number? Its not 4/3

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mbh292
mbh292 mbh292
  • 16-07-2018
The number is (2√3) / 3

To find the missing number, convert what it says in words to an equation:
[tex]15 {x}^{2} = 20x[/tex]
Divide both sides by 15:
[tex] {x}^{2} = \frac{20}{15} \\ \\ {x}^{2} = \frac{4}{3} [/tex]
Take the square root:
[tex]x = \sqrt{ \frac{4}{3} } \\ \\ x = \frac{2}{ \sqrt{3} } \\ \\ x = \frac{2 \sqrt{3} }{3} [/tex]
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