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23 lines
753 B
Plaintext
23 lines
753 B
Plaintext
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; Combine 3 quadratic polynomial equations with 3 unknown coefficients (a, b, c).
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; Solve for variables (a), (b), and (c).
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clear all ; restart Mathomatic
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; enter all 3 equations:
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y1=a+b*x1+c*x1^2
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y2=a+b*x2+c*x2^2
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y3=a+b*x3+c*x3^2
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2 ; select equation number 2 as the current equation
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eliminate a ; eliminate variable (a) from the current equation
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3 ; select equation number 3
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eliminate a b ; eliminate variables (a) and then (b) from the current equation
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solve verifiable c
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simplify
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2 ; select equation number 2 again
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eliminate c using 3 ; find (b) by combining equation numbers 2 and 3
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simplify
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1 ; select equation number 1
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eliminate c using 3, b using 2 ; find (a)
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simplify fraction all ; display all solutions, converting to simple fractions first
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