,quatratic equation.急
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,quatratic equation.急
![](http://img.wesiedu.com/upload/b/d3/bd391ffc2c644ea1636688315e1c5596.jpg)
![](http://img.wesiedu.com/upload/b/d3/bd391ffc2c644ea1636688315e1c5596.jpg)
![,quatratic equation.急](/uploads/image/z/16197018-42-8.jpg?t=%2Cquatratic+equation.%E6%80%A5)
prove:
X^2-5=2m(m-2)
then x^2-5=2m^2-4m
x^2-3=2m^2-4m+2 (两边同时+2)
X^2-3=2(m^2 - 2m +1)
X^2=2(m-1)^2 + 3
coz 2(m-1)^2≥0
so x^2≥0+3
so X^2≥3
so there are no real volues of m,X1= √{2(m-1)^2 + 3 } and X2=-√{2(m-1)^2 + 3 }
(√表示根号)
X^2-5=2m(m-2)
then x^2-5=2m^2-4m
x^2-3=2m^2-4m+2 (两边同时+2)
X^2-3=2(m^2 - 2m +1)
X^2=2(m-1)^2 + 3
coz 2(m-1)^2≥0
so x^2≥0+3
so X^2≥3
so there are no real volues of m,X1= √{2(m-1)^2 + 3 } and X2=-√{2(m-1)^2 + 3 }
(√表示根号)