解方程5(x-1)平方-2(x+3)平方=3(x+2)平方-7(6x-1)要过程
问题描述:
解方程5(x-1)平方-2(x+3)平方=3(x+2)平方-7(6x-1)要过程
答
展开5(x^2-2x+1)-2(x^2+6x+9)=3(x^2+4x+4)-42x+7
5x^2-10x+5-2x^2-12x-18=3x^2+12x+12-42x+7
3x^2 -22x-13=3x^2 -30x+19
8x=32
x=4
答
5(x-1)^2-2(x+3)^2=3(x+2)^2-7(6x-1)
5(x^2-2x+1)-2(x^2+6x+9)=3(x^2+4x+4)-7(6x-1)
(5x^2-10x+5)-(2x^2+12x+18)=(3x^2+12x+12)-(42x-7)
5x^2-10x+5-2x^2-12x-18=3x^2+12x+12-42x+7
3x^2-22x-13=3x^2-30x+19
3x^2-22x-13-3x^2+30x-19=0
-22x-13+30x-19=0
8x-32=0
x=4