解方程:(4x+5)(4x-5)=4(2x+3)^2-(100x-17)

问题描述:

解方程:(4x+5)(4x-5)=4(2x+3)^2-(100x-17)

16x²-25=16x²+48x+36-100x+17
-25=48x+36-100x+17
52x=78
x=3/2

展开
16x²-25=4(4x²+12x+9)-100x+17
16x²-25=16x²+48x+36-100x+17
52x=36+17+25
52x=78
x=1.5

(4X+5)(4X-5)=4(2X+3)平方-(100X-17)
16x^2-25=4(4x^2+12x+9)-100x+17
16x^2-25=16x^2+48x+36-100x+17
-25=-52x+53
52x=78
x=3/2