当m为何值时,方程2x²-(m²-4)x=0的两个根互为相反数?急
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当m为何值时,方程2x²-(m²-4)x=0的两个根互为相反数?急
当m为何值时,方程2x²-(m²-4)x=0的两个根互为相反数?急
当m为何值时,方程2x²-(m²-4)x=0的两个根互为相反数?急
因为两根互为相反数,即
x1+x2=(m²-4)/2=0
(m+2)(m-2)=0
m=-2或m=2