Answer:
x = - 7
x = 9
Step-by-step explanation:
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
Ignore the A before the ±. It wouldn't let me type it correctly.
x² - 2x - 63 = 0
a = 1
b = - 2
c = - 63
[tex]x=\frac{-(-2)±\sqrt{-2^{2}-4((-2)(-63)) } }{2(1)}[/tex]
[tex]x=\frac{-(-2)±\sqrt{4-4((-2)(-63)) } }{2(1)}[/tex]
[tex]x=\frac{2±\sqrt{4+252 } }{2(1)}[/tex]
[tex]x=\frac{2±\sqrt{256 } }{2(1)}[/tex]
[tex]x=\frac{2±16 }{2}[/tex]
Two separate equations
[tex]x=\frac{2+16 }{2}[/tex]
[tex]x=\frac{2-16 }{2}[/tex]
[tex]x=\frac{2+16 }{2}[/tex]
[tex]x=\frac{18 }{2}[/tex]
x = 9
[tex]x=\frac{2-16 }{2}[/tex]
[tex]x=\frac{-14 }{2}[/tex]
x = - 7
