[tex]y = x^{2} + 3x - 4[/tex]
[tex]x^{2} + 3x - 4 = 0[/tex]
[tex]x = \frac{-(3) +/- \sqrt{(3)^{2} - 4(1)(-4)}}{2(1)} [/tex]
[tex]x = \frac{-3 +/- \sqrt{9 + 16}}{2} [/tex]
[tex]x = \frac{-3 +/- \sqrt{25}}{2} [/tex]
[tex]x = \frac{-3 +/- 5}{2} [/tex]
[tex]x = \frac{3 + 5}{2} [/tex] [tex]x = \frac{3 - 5}{2} [/tex]
[tex]x = \frac{8}{2} [/tex] [tex]x = \frac{-2}{2} [/tex]
[tex]x = 4[/tex] [tex]x = -1[/tex]
[tex]y = x^{2} + 3x - 4[/tex]
[tex]y = (4)^{2} + 3(4) - 4[/tex]
[tex]y = 16 + 12 - 4[/tex]
[tex]y = 28 - 4[/tex]
[tex]y = 24[/tex]
[tex](x, y) = (4, 24)[/tex]
or
[tex]y = x^{2} + 3x - 4[/tex]
[tex]y = (-1)^{2} + 3(-1) - 4[/tex]
[tex]y = 1 - 3 - 4[/tex]
[tex]y = -2 - 4[/tex]
[tex]y = -6[/tex]
[tex](x, y) = (-1, -6)[/tex]
