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REY [17]
3 years ago
10

One root of the quadratic equation x^2 − 2x + m = 0 is 9. If the other root is n, what is n−m?

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0
9^2-2*9+m=0\\
\\
81-18+m=0\\
\\
m=-63

x^{2} -2x-63=0\\
\\
\Delta=(-2)^2-4.1.(-63)=4+252=256\\
\\
x=\frac{2 \pm 16}{2}\\
\\
x_1=\frac{18}{2}=9\\
\\
n=x_2=\frac{-14}{2}=-7\\
\\
n-n=-7-(-63)=-7+63=56
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