已知:b/a + c/a = 1 求证:b^2 + 4ac >= 0

问题描述:

已知:b/a + c/a = 1 求证:b^2 + 4ac >= 0

b/a + c/a = 1
b+c=a
b=a-c
b^2+4ac
=(a-c)^2+4ac
=a^2-2ac+c^2+4ac
=a^2+2ac+c^2
=(a+c)^2>=0