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2題(20點)數學唔該><急急

發問:

find the values of the constants P,Q and R in each of the following identities. 4.(2c-1)^2-P≡Qx^2+Rx+5 5.(x-P)^2+6≡x(Qx+2)-R

最佳解答:

4. The question should be： (2x - 1)2 - P ≡ Qx2 + Rx + 5 (2x - 1)2 - P ≡ Qx2 + Rx + 5 4x2 - 4x + 1 - P ≡ Qx2 + Rx + 5 4x2 - 4x + (1 - P) ≡ Qx2 + Rx + 5 Compare the constant terms on the both sides : 1 - P = 5 P = -4 Compare the x2 terms on the both sides : Q = 4 Compare the x terms on the both sides : R = -4 ===== 5. (x - P)2 + 6 ≡ x(Qx + 2) - R x2 - 2Px + P2 + 6 = Qx2 + 2x - R x2 - 2Px + (P2 + 6) = Qx2 + 2x - R Compare the x terms on the both sides : -2P = 2 P = -1 Compare the x2 terms on the both sides : Q = 1 Compare the constant terms on the both sides : -R = P2 + 6 -R = (-1)2 + 6 R = -7

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其他解答:

4.) 2c-1)^2-P≡Qx^2+Rx+5 (4c^2-2C+1)-P≡Qx^2+Rx+5 4c^2-2C+1-P≡Qx^2+Rx+5 5.(x-P)^2+6≡x(Qx+2)-R x^2-2Px+P^2+6≡Qx+2-R