因式分解:4x平方+8x-1(写成4(x-______)(x-______)

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因式分解:4x平方+8x-1(写成4(x-______)(x-______)
因式分解:4x平方+8x-1(写成4(x-______)(x-______)

因式分解:4x平方+8x-1(写成4(x-______)(x-______)
4x平方+8x-1
=4(x平方+2x-1/4)
=4(x平方+2x+1-1-1/4)
=4[(x+1)平方-5/4]
=4(x+1-√5/2)(x+1+√5/2)

4x平方+8x-1
=4(x²+2x-1/4)
=4(x²+2x+1-5/4)
=4[(x+1)²-5/4]
=4(x+1+√5/2)(x+1-√5/2)

4x²+8x-1
=4(x²+2x-1/4)
=4(x²+2x+1-5/4)
=4[(x+1)²-5/4]
=4(x+1 +√5/2)(x+1- √5/2)
=4[x-(-1-√5/2)][x-(√5/2 -1)]