In the isosceles triangle ABC, the opposite sides of angle a, angle B and angle c are a, B and C respectively. A = 3 is known B and C are the two real roots of the quadratic + MX + 2-1 / 2m = 0 of the equation x about X. find the perimeter of △ ABC

In the isosceles triangle ABC, the opposite sides of angle a, angle B and angle c are a, B and C respectively. A = 3 is known B and C are the two real roots of the quadratic + MX + 2-1 / 2m = 0 of the equation x about X. find the perimeter of △ ABC

(1) Edge a is a waist of a triangle: then the equation has a root of 3, take X1 = 3 into the equation: 3 ^ 2 + 3M + (1 / 2) M = 0, get m = - (18 / 7) into the equation, use the root formula to find another root x2: X2 = [9 ± 3 * 2 (1 / 2)] / 7, which is also the bottom edge length of the triangle; or