leoronquillo49 leoronquillo49
  • 06-10-2016
  • Mathematics
contestada

What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve.

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 06-10-2016
it is a quadratic
where x-8 is the squared term
do
x-8=u

u^2-13u+30=0

solve
u=[tex] \frac{-b+/- \sqrt{b^2-4ac} }{2a} [/tex]
u=[tex] \frac{-(-13)+/- \sqrt{(-13)^2-4(1)(30)} }{2(1)} [/tex]
u=[tex] \frac{13+/- \sqrt{169-120} }{2} [/tex]
u=[tex] \frac{13+/- \sqrt{49} }{2} [/tex]
u=[tex] \frac{13+/- 7 }{2} [/tex]
u=[tex] \frac{20} }{2} [/tex] or u=[tex] \frac{6 }{2} [/tex]
u=10 or 3

10=x-8 or 3=x-8
18=x or 11=x

x=11 and/or 18
Answer Link
carsonmcpherson
carsonmcpherson carsonmcpherson
  • 21-03-2019

Answer:

It is 11 and 18 positive not negative numbers

Step-by-step explanation:

Answer Link

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