设x,y都是有理数,且满足x²+2y+(√3)y=17-4√3.求(√3)x+[(√3)/(2)]y
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![设x,y都是有理数,且满足x²+2y+(√3)y=17-4√3.求(√3)x+[(√3)/(2)]y](/uploads/image/z/2521246-22-6.jpg?t=%E8%AE%BEx%2Cy%E9%83%BD%E6%98%AF%E6%9C%89%E7%90%86%E6%95%B0%2C%E4%B8%94%E6%BB%A1%E8%B6%B3x%26%23178%3B%2B2y%2B%28%E2%88%9A3%29y%3D17-4%E2%88%9A3.%E6%B1%82%28%E2%88%9A3%29x%2B%5B%28%E2%88%9A3%29%2F%282%29%5Dy)
设x,y都是有理数,且满足x²+2y+(√3)y=17-4√3.求(√3)x+[(√3)/(2)]y
设x,y都是有理数,且满足x²+2y+(√3)y=17-4√3.求(√3)x+[(√3)/(2)]y
设x,y都是有理数,且满足x²+2y+(√3)y=17-4√3.求(√3)x+[(√3)/(2)]y
解由x,y都是有理数,且满足x²+2y+(√3)y=17-4√3
即x²+2y+(√3)y=17+√3*(-4)
即x²+2y=17,y=-4
即x²=5,y=-4
即x=±5,y=-4
即(√3)x+[(√3)/(2)]y
=(√3)*(5)+[(√3)/(2)]*(-4)
=5√3-2√3
=3√3
或(√3)x+[(√3)/(2)]y
=(√3)*(-5)+[(√3)/(2)]*(-4)
=-5√3-2√3
=-7√3
即(√3)x+[(√3)/(2)]y的值诶3√3或-7√3