Squirmy Squirmy
  • 23-06-2015
  • Mathematics
contestada

the square of a number increased by 5 times the number is equal to 176. find the number.

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naǫ
naǫ naǫ
  • 23-06-2015
x - the number

[tex]x^2+5x=176 \\ x^2+5x-176=0 \\ \\ a=1 \\ b=5 \\ c=-176 \\ b^2-4ac=5^2-4 \times 1 \times (-176)=25+704=729 \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-5 \pm \sqrt{729}}{2 \times 1}=\frac{-5 \pm 27}{2} \\ x=\frac{-5 - 27}{2} \ \lor \ x=\frac{-5 +27}{2} \\ x=\frac{-32}{2} \ \lor \ x=\frac{22}{2} \\ x=-16 \ \lor \ x=11[/tex]

The number is -16 or 11.
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