5x²-3x-5=0 则 5x²-2x-[1÷(5x²-2x-5)]

问题描述:

5x²-3x-5=0 则 5x²-2x-[1÷(5x²-2x-5)]

5x²-3x-5=0则,5x²-3x=5.
5x²-2x-[1÷(5x²-2x-5)]
=5+x-1/(5-5+x)
=5+x-1/x
=(5x+x^2-1)/x

5x^2-2x=x+5
5x^2-2x-5=x
所以原式=x+5-1/x
=(x^2+5x-1)/x
条件得到x^2-(3/5)x-1=0
x^2-1=(3/5)x
所以原式=(5+(3/5))x/x=5.6

5x²-3x-5=0∴5x²-2x-5=x∴5x²-2x-[1÷(5x²-2x-5)]=x+5-1/x=(x²+5x-1)/x=5(x²+5x-1)/5x=(5x²+25x-5)/5x=(5x²-3x-5+28x)/5x=28/5