Expresión 12: "y" Subscript, 2 , Baseline equals StartRoot, left parenthesis, "x" cubed plus "a" "x" Subscript, 2 , Baseline plus "b" , right parenthesis , EndRooty2=x32+ax2+b
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Expresión 13: "x" Subscript, 1 , Baseline equals 2.7 8x1=2.78
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Expresión 14: "x" Subscript, 2 , Baseline equals 1.5 7x2=1.57
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This is the straight line connecting the two source points (step 1):
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Expresión 16: "m" equals StartFraction, left parenthesis, "y" Subscript, 1 , Baseline minus "y" Subscript, 2 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 1 , Baseline minus "x" Subscript, 2 , Baseline , right parenthesis , EndFractionm=y1−y2x1−x2
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Expresión 17: "v" equals "y" Subscript, 1 , Baseline minus "m" "x" Subscript, 1 , Baselinev=y1−mx1
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Expresión 18: "y" equals "m" "x" plus "v"y=mx+v
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These are the coordinates of the intersection of the line with our curve (step 2):
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Expresión 20: "x" Subscript, 3 , Baseline equals "m" squared minus "x" Subscript, 1 , Baseline minus "x" Subscript, 2 , Baselinex3=m2−x1−x2
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Expresión 21: "y" Subscript, 3 , Baseline equals "m" "x" Subscript, 3 , Baseline plus "v"y3=mx3+v
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Expresión 22: left parenthesis, "x" Subscript, 3 , Baseline , "y" Subscript, 3 , Baseline , right parenthesisx3,y3