1.在实数范围内分解因式x^3-x^2-2x+22.计算√(3+√5)

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1.在实数范围内分解因式x^3-x^2-2x+22.计算√(3+√5)1.在实数范围内分解因式x^3-x^2-2x+22.计算√(3+√5)1.在实数范围内分解因式x^3-x^2-2x+22.计算√(

1.在实数范围内分解因式x^3-x^2-2x+22.计算√(3+√5)
1.在实数范围内分解因式x^3-x^2-2x+2
2.计算√(3+√5)

1.在实数范围内分解因式x^3-x^2-2x+22.计算√(3+√5)
=(x-1)(x^2-2)
=(x-1)(x-根号2)(x+根号2)
√(3+√5)
=√[2(3+√5)]/2
=√(5+1+2√5)/2
=(√5+1)/根号2
=(根号10+根号2)/2

x^3-x^2-2x+2
=X^2(X-1)-2(X-1)
=(X-1)(X^2-2)

1、x^3-x^2-2x+2
=x^2(x-1)-2(x-1)
=(x^2-2)(x-1)
=(x-根号2)(x+根号2)(x-1)
2、√(3+√5)
=√[(6+2√5)/2]
=√[(1+√5)^2/2]
=(1+√5)/√2
=√2/2+√10/2

1.
x^3-x^2-2x+2
=(x^3-x^2)-(2x-2)
=x^2(x-1)-2(x-1)
=(x-1)(x^2-2)
=(x-1)(x+√2)(x-√2)
2
√(3+√5)
=√1/2(6+2√5)
=√1/2(√5+1)^2
=(√5+1)/√2
=(√10+√2)/2

1
=x^3+1-(x^2+2x-1)
=(x+1)(x^2-x+1)-(x^2+2x+1-2)
=(x+1)(x^2-x+1)-(x+1)^2+2
=(x+1)(x^2-x+1-x-1)+2
=(x+1)(x^2-2x)+2
=2(x+1)(x-2)+2
2
=√[√(1/2)+√(5/2)]^2
=√1/2+√5/2