colinlt28
colinlt28 colinlt28
  • 10-12-2018
  • Mathematics
contestada

What is f(x)=(x^2)-10x+14 factored

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 10-12-2018

Hello from MrBillDoesMath

Answer:    - (-x + sqrt(11) + 5)  (x + sqrt(11) - 5)

Discussion:

x^2 - 10x + 14 = -(-x + sqrt(11) + 5) (x + sqrt(11) - 5)

This was found by solving the original equation using the quadratic formula

ax^2 + bx + c = 0  =>

x = ( -b +\- sqrt(b^2 - 4ac))   /  2a


In our case a = 1, b = -10, and c = 14. Substitute those values in the formula.



Thank you,

Mr. B


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