Question

What are the x-coordinates of the solutions to this system of equations?

x2 + y2 = 100
y = x + 2

Answer 1

\[x ^{2}+\left( x+2 \right)^{2}=100\]
\[x ^{2}+ x ^{2}+4x+4-100=0\]
\[2x ^{2}+4x-96=0\]
\[x ^{2}+2x-48=0\]
1*-48=-48
8-6=2
8*-6=-48
write 2x=8x-6x and make factors.