nyahmossman nyahmossman

03-12-2021
Mathematics

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The square of a positive number is 24 more than 5 times the number. What is the value of the number?

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loneguy loneguy

03-12-2021

[tex]\text{If the number is x,}\\\\x^2 = 24 +5x \\\\\implies x^2 -5x -24 =0\\\\\implies x^2 -8x+3x -24 =0\\\\\implies x(x-8) +3(x-8) =0\\\\\implies (x-8)(x+3) =0\\\\\implies x = 8~~~~ ;[\text{x is positive} ][/tex]

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