已知a²+3a+1=0求a+1/a; a²+1/a²; a4次方+1/a4次方已知a²+3a+1=0求(1).a+(1/a);( 2).a²+(1/a²);( 3).a4次方+(1/a4次方)
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![已知a²+3a+1=0求a+1/a; a²+1/a²; a4次方+1/a4次方已知a²+3a+1=0求(1).a+(1/a);( 2).a²+(1/a²);( 3).a4次方+(1/a4次方)](/uploads/image/z/2586077-53-7.jpg?t=%E5%B7%B2%E7%9F%A5a%26%23178%3B%2B3a%2B1%3D0%E6%B1%82a%2B1%2Fa%3B+a%26%23178%3B%2B1%2Fa%26%23178%3B%3B+a4%E6%AC%A1%E6%96%B9%2B1%2Fa4%E6%AC%A1%E6%96%B9%E5%B7%B2%E7%9F%A5a%26%23178%3B%2B3a%2B1%3D0%E6%B1%82%EF%BC%881%EF%BC%89.a%2B%EF%BC%881%2Fa%EF%BC%89%3B%EF%BC%88+2%EF%BC%89.a%26%23178%3B%2B%EF%BC%881%2Fa%26%23178%3B%EF%BC%89%3B%EF%BC%88+3%EF%BC%89.a4%E6%AC%A1%E6%96%B9%2B%EF%BC%881%2Fa4%E6%AC%A1%E6%96%B9%EF%BC%89)
已知a²+3a+1=0求a+1/a; a²+1/a²; a4次方+1/a4次方已知a²+3a+1=0求(1).a+(1/a);( 2).a²+(1/a²);( 3).a4次方+(1/a4次方)
已知a²+3a+1=0求a+1/a; a²+1/a²; a4次方+1/a4次方
已知a²+3a+1=0求(1).a+(1/a);( 2).a²+(1/a²);( 3).a4次方+(1/a4次方)
已知a²+3a+1=0求a+1/a; a²+1/a²; a4次方+1/a4次方已知a²+3a+1=0求(1).a+(1/a);( 2).a²+(1/a²);( 3).a4次方+(1/a4次方)
a²+3a+1=(a+1)^2 +a
(a+1)^2 +a+1 = 1 设 a+1 = x x^2 +x -1 =0 x = [-1 +/-根号下1-4*1*(-1)]/2 =
(-1+/-根号5)/2
a+1 = (-1+/-根号5)/2