[tex]x^2 = 7x -12
x^2-7x+12=0[/tex]
[tex]a=1
b=-7
c=12[/tex]
[tex]x = \frac{-b (+-) \sqrt{b^2-4ac} }{2a} [/tex]
[tex]x = \frac{-(-7) (+-) \sqrt{-7^2-4(1)(12)} }{2(1)} [/tex]
[tex]x = \frac{7 (+-) \sqrt{49-48} }{2} [/tex]
[tex]x = \frac{7 (+-) \sqrt{1} }{2} [/tex]
[tex]x = \frac{7 (+-) 1 }{2} [/tex]
[tex]x_1 = \frac{7 +1 }{2} = \frac{8}{2} = \boxed{4}[/tex]
[tex]x_2 = \frac{7 -1 }{2} = \frac{6}{2} = \boxed{3}[/tex]
