(2√3-2x)²+(2+3x)²=16
问题描述:
(2√3-2x)²+(2+3x)²=16
答
(2√3-2x)²+(2+3x)²=16
(2√3-2x)² - 12 +(2+3x)²- 4 = 0
(2√3-2x+2√3)(2√3-2x-2√3) + (2+3x+2)(2+3x-2) = 0
(4√3-2x)(-2x) + (4+3x)(3x) = 0
x{-2(4√3-2x) + 3(4+3x)} = 0
x (-8√3+4x+12+9x) = 0
x (13x+12-8√3) = 0
x1 = 0
x2 = 4(2√3-3)/13