已知x2-3x-5=0,求x3-14x+15的值

问题描述:

已知x2-3x-5=0,求x3-14x+15的值

x2-3x-5=0
x²-3x=5
x3-14x+15
=x(x²-3x)+3x²-14x+15
=3x²-9x+15
=3(x²-3x)+15
=3×5+15
=30