已知:b/a + c/a = 1 求证:b^2 + 4ac >= 0

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已知:b/a+c/a=1求证:b^2+4ac>=0已知:b/a+c/a=1求证:b^2+4ac>=0已知:b/a+c/a=1求证:b^2+4ac>=0b/a+c/a=1b+c=ab=a-cb^2+4a

已知:b/a + c/a = 1 求证:b^2 + 4ac >= 0
已知:b/a + c/a = 1 求证:b^2 + 4ac >= 0

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

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

b+c=a
b^2 + 4ac
=b^2+4(b+c)c
=b^2+4c^2+4bc
=(b+2c)^2
某数的平方永远不小于0,故b^2 + 4ac >= 0