解方程:(2x+1)的二次方减2(x-3)的二次方等于(2x-1)(x+5)+23

2024-12-26 21:58:07
推荐回答(2个)
回答1:

(2x+1)²-[2(x-3)]²
=(2x+1)²-(2x-6)²
=(2x+1+2x-6)(2x+1-2x+6)
=7(4x-5)
=28x-35

回答2:

(2x+1)²-2(x-3)²=(2x-1)(x+5)+23
4x²+4x+1-2x²+12x-18=2x²+9x-5+23
2x²+16x-17=2x²+9x+18
16x-17=9x+18
16x-9x=18+17
7x=35
x=5