代数式(a²+b²)²-(a²+b²)的值等于6,则a²+b²的值是
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![代数式(a²+b²)²-(a²+b²)的值等于6,则a²+b²的值是](/uploads/image/z/2580499-19-9.jpg?t=%E4%BB%A3%E6%95%B0%E5%BC%8F%EF%BC%88a%26%23178%3B%2Bb%26%23178%3B%EF%BC%89%26%23178%3B-%EF%BC%88a%26%23178%3B%2Bb%26%23178%3B%EF%BC%89%E7%9A%84%E5%80%BC%E7%AD%89%E4%BA%8E6%2C%E5%88%99a%26%23178%3B%2Bb%26%23178%3B%E7%9A%84%E5%80%BC%E6%98%AF)
代数式(a²+b²)²-(a²+b²)的值等于6,则a²+b²的值是
代数式(a²+b²)²-(a²+b²)的值等于6,则a²+b²的值是
代数式(a²+b²)²-(a²+b²)的值等于6,则a²+b²的值是
(a²+b²)²-(a²+b²)=6
(a²+b²)²-(a²+b²)-6=0
(a²+b²-3)(a²+b²+2)=0
a²+b²=3
(a²+b²)²-(a²+b²)=6
(a²+b²-3)(a²+b²+2)=0.
显然,a²+b²+2>0,
∴a²+b²=3。