ematthewsjr6800 ematthewsjr6800
  • 01-09-2017
  • Mathematics
contestada

When asked his age, the algebra teacher said, “if you square my age, then subtract 23 times my age, the result is 50.” how old is he?

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Аноним Аноним
  • 01-09-2017
Let the age be x.

Given,

[tex] x^{2} - 23x = 50[/tex]

[tex] x^{2} - 23x - 50 = 0[/tex]

[tex] x^{2} - 25x + 2x - 50 = 0[/tex]

[tex] x(x -25)+2(x-25)=0[/tex]

[tex](x+2)(x-25)=0[/tex]

Hence, x = -2 or 25.

Since, the age of the teacher cannot be in negative, the age of the teacher is 25 years.

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