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Math problem: the intersection of straight line and circle
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∵x? -? y? +? M=0 and y=? x? +? m

Will y=x? +? M is substituted into x 2+y 2-2x- 1 = 0.

Get x 2+(x? +? M) x 2+extends 2-2x- 1 = 0? x^2+2mx+m^2-2x- 1=0

That's two? x^2+(2m-2)x+m^2- 1=0

Make △ > 0 is (2m-2)2-4×2×(m2- 1)0.

The factorization is (m- 1)×? 【m- 1-4(m+ 1)】? ﹥0

That is (m- 1) (3m+5)-0.

m- 1¢0? Or? m- 1; 0

3m+5¢0

The solution is -5/3¢m 655438+0.