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五、(本题7分)已知方程x~2-2x-1=0,利用根与系数的关系求作一个一元二次方程,使它的根是原方程各根的平方。六、列方程解应用题(每小题7分,共14分): 1.某商厦今年一月份销售额为60万元,二月份由于种种原因,经营不善,销售额下降10%,以后加强改进管理,经减员增效,大大激发了全体员工的积极性,月销售额大幅上升,到四月份销售额猛增到96万元,求三、四月份平均每月增长的百分率是多少?(精确到0.1%)。 2.一个容器内装满20升纯酒精,第一次倒出若干升后,用水加满;第二次又倒出同样升数的混合液,仍用水加满。这时,容器内还剩下5升纯酒精,试求:第一次倒出多少纯酒精。
V. (7 points in this question) The known equation x~2-2x-1 = 0, using the relationship between the root and the coefficient as a quadratic equation of one yuan, so that its root is the square of each root of the original equation. Sixth, the application of the equation equation (7 points for each question, a total of 14 points): 1. A commercial building sales of 600,000 yuan in January this year, February due to various reasons, poor management, sales fell by 10%, after strengthening Improve management, reduce staff and improve efficiency, greatly stimulated the enthusiasm of all employees, monthly sales rose sharply, sales rose sharply to 960,000 yuan in April, what is the percentage of average monthly growth in March and April? To 0.1%). 2. Fill a container with 20 liters of pure alcohol, fill it with a few liters for the first time, and fill it with water; pour out the same litre of liquid mixture again the second time and still fill it with water. At this time, 5 liters of pure alcohol remained in the container. Try to: How much pure alcohol should be poured out for the first time?