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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer
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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation (4-6.9)^2+2*(5-6.9)^2+2*(6-6.9)^2+3*(7-6.9)^2+(10-6.9)^2+(12-6.9)^2 .
    Question type: Mathematical calculation
    Solution:
          (4-6.9)^2+2*(5-6.9)^2+2*(6-6.9)^2+3*(7-6.9)^2+(10-6.9)^2+(12-6.9)^2
        =-2.9^2+2*(5-6.9)^2+2*(6-6.9)^2+3*(7-6.9)^2+(10-6.9)^2+(12-6.9)^2
        =-2.9^2+2*(-1.9)^2+2*(6-6.9)^2+3*(7-6.9)^2+(10-6.9)^2+(12-6.9)^2
        =-2.9^2+2*(-1.9)^2+2*(-0.9)^2+3*(7-6.9)^2+(10-6.9)^2+(12-6.9)^2
        =-2.9^2+2*(-1.9)^2+2*(-0.9)^2+3*0.1^2+(10-6.9)^2+(12-6.9)^2
        =-2.9^2+2*(-1.9)^2+2*(-0.9)^2+3*0.1^2+3.1^2+(12-6.9)^2
        =-2.9^2+2*(-1.9)^2+2*(-0.9)^2+3*0.1^2+3.1^2+5.1^2
        =8.41+2*(-1.9)^2+2*(-0.9)^2+3*0.1^2+3.1^2+5.1^2
        =8.41+2*3.61+2*(-0.9)^2+3*0.1^2+3.1^2+5.1^2
        =8.41+2*3.61+2*0.81+3*0.1^2+3.1^2+5.1^2
        =8.41+2*3.61+2*0.81+3*0.01+3.1^2+5.1^2
        =8.41+2*3.61+2*0.81+3*0.01+9.610000000000001+5.1^2
        =8.41+2*3.61+2*0.81+3*0.01+9.610000000000001+26.009999999999998
        =8.41+7.22+2*0.81+3*0.01+9.610000000000001+26.009999999999998
        =8.41+7.22+1.62+3*0.01+9.610000000000001+26.009999999999998
        =8.41+7.22+1.62+0.03+9.610000000000001+26.009999999999998
        =15.63+1.62+0.03+9.610000000000001+26.009999999999998
        =17.25+0.03+9.610000000000001+26.009999999999998
        =17.28+9.610000000000001+26.009999999999998
        =26.89+26.009999999999998
        =52.9

    Answer:(4-6.9)^2+2*(5-6.9)^2+2*(6-6.9)^2+3*(7-6.9)^2+(10-6.9)^2+(12-6.9)^2=52.9


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