若2x²+1与4x²-2x-5互为相反数,求x的值
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![若2x²+1与4x²-2x-5互为相反数,求x的值](/uploads/image/z/2545783-7-3.jpg?t=%E8%8B%A52x%26%23178%3B%2B1%E4%B8%8E4x%26%23178%3B-2x-5%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82x%E7%9A%84%E5%80%BC)
若2x²+1与4x²-2x-5互为相反数,求x的值
若2x²+1与4x²-2x-5互为相反数,求x的值
若2x²+1与4x²-2x-5互为相反数,求x的值
2x²+1+4x²-2x-5=0
6(x²-x/3-2/3)=0
x²-x/3-2/3=0
(x-1/6)^2-1/36-2/3=0
(x-1/6)^2=25/36
x-1/6=±5/6
x=1/6±5/6=1 或者 -2/3