SOLUTION: Prove that roots of (A+C-B)x^2 + 2Cx + (B+C-A)=0 have rational expressions in {A,B,C}
I've substituted a=(A+C-B) b=2C and c=(B+C-A) into the quadratic formula and got down to:
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: Prove that roots of (A+C-B)x^2 + 2Cx + (B+C-A)=0 have rational expressions in {A,B,C}
I've substituted a=(A+C-B) b=2C and c=(B+C-A) into the quadratic formula and got down to:
Log On
Question 902204: Prove that roots of (A+C-B)x^2 + 2Cx + (B+C-A)=0 have rational expressions in {A,B,C}
I've substituted a=(A+C-B) b=2C and c=(B+C-A) into the quadratic formula and got down to:
x= -2C plus/minus square root of (4A^2 + 4B^2 - 8AB) / 2A+2C-2B
But I'm not sure where to go now? Answer by Fombitz(32388) (Show Source):
