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Verified Answer :

x=7 x=-9 
hope this helps

Answer:

x = - 7

x = 9

Step-by-step explanation:

\(x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}\)

Ignore the A before the ±. It wouldn't let me type it correctly.

x² - 2x - 63 = 0

a = 1

b = - 2

c = - 63

\(x=\frac{-(-2)±\sqrt{-2^{2}-4((-2)(-63)) } }{2(1)}\)

\(x=\frac{-(-2)±\sqrt{4-4((-2)(-63)) } }{2(1)}\)

\(x=\frac{2±\sqrt{4+252 } }{2(1)}\)

\(x=\frac{2±\sqrt{256 } }{2(1)}\)

\(x=\frac{2±16 }{2}\)

Two separate equations

\(x=\frac{2+16 }{2}\)

\(x=\frac{2-16 }{2}\)

\(x=\frac{2+16 }{2}\)

\(x=\frac{18 }{2}\)

x = 9

\(x=\frac{2-16 }{2}\)

\(x=\frac{-14 }{2}\)

x = - 7