因:3x²+2x-y²=0 所以有:y²=3x²+2x 且有:3x²+2x≥0 (x≤-2/3 或 x≥0)
4x+y²-5x²
=4x+3x²+2x-5x²
=-2x²+6x
=-2(x²-3x+9/4)+9/2
=-2(x-3/2)²+9/2
易得:当x=3/2时原式有最大值为9/2
没有最小值!
因:3x²+2x-y²=0 所以有:y²=3x²+2x 且有:3x²+2x≥0 (x≤-2/3 或 x≥0)
4x+y²-5x²
=4x+3x²+2x-5x²
=-2x²+6x
=-2(x²-3x+9/4)+9/2
=-2(x-3/2)²+9/2
易得:当x=3/2时原式有最大值为9/2
没有最小值!