izabellemack izabellemack
  • 22-01-2022
  • Mathematics
contestada

x^2+10x+19=0 complete the square PLEASE EXPLAIN

Respuesta :

olenahoppe olenahoppe
  • 22-01-2022

Answer:

Step-by-step explanation

In the form ax^2+bx+c

a x c should equal two factors of b

However, in this equation

1 x 19 has no factors that = 10

so you must use the Quadratic Formula which is,

x = [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a} [/tex]

so the answer should be

x = [tex]\frac{-10+-\sqrt{10^2-4(1)(19)} }{2(1)} [/tex]

x = [tex]\frac{-10+-\sqrt{24} }{2} [/tex]

x = [tex]\frac{-10+2\sqrt{6} }{2} [/tex]      and    x = [tex]\frac{-10-2\sqrt{6} }{2} [/tex]

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