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一元二次方程x2+x-1=0有一根为5~(1/2)-1/2是黄金分割中的黄金比,因黄金分割应用比较广泛,所以我们称此方程为黄金方程.在平时练习中,涉及到此方面的问题,好多学生都感到束手无策、无从下手.在此,撷取几道例题,以供解题思路.一、利用降次公式解题把方程x2+x-1=0变形成x2=1-x,注意到等式左边是一个二次整式,而右边是一次整式,则从等式的左边到右边整式的次数降低了.我们把“x2=1-x”称为降次公式.
One quadratic equation x2 + x-1 = 0 has a 5 ~ (1/2) -1/2 is the gold ratio in the golden section, because the golden section is more widely used, so we call this equation gold equation. Usually practice, involving these aspects, many students feel helpless, unable to get started. In this, retrieve a few examples for solving the problem. First, the use of equations to solve the equation x2 + x-1 = 0 transforms to x2 = 1-x, noting that the left side of the equation is a double integral and the right one integral, the number of integers from the left to the right of the equation decreases. Let’s say “x2 = 1-x ”Called the formula for the reduction.