nataliegarcia2 nataliegarcia2
  • 17-08-2017
  • Mathematics
contestada

what is the the smaller of the solutions? x^2-7x+3=0

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 17-08-2017
factor
erm, nope

use quadraticc formula
for
0=ax²+bx+c

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

so

given
0=1x²-7x+3
a=1
b=-7
c=3

[tex]x=\frac{-(-7)+/-\sqrt{(-7)^2-4(1)(3)}}{2(1)}[/tex]
[tex]x=\frac{7+/-\sqrt{49-12}}{2}[/tex]
[tex]x=\frac{7+/-\sqrt{37}}{2}[/tex]
[tex]x=\frac{7+/-\sqrt{37}}{2}[/tex]

the solutions are [tex]x=\frac{7+\sqrt{37}}{2}[/tex] and [tex]x=\frac{7-\sqrt{37}}{2}[/tex]

the smaller solution will be [tex]x=\frac{7-\sqrt{37}}{2}[/tex]
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