已知x,y满足 (3x-1)²=-1/2|3x-y-5|,求13x²-y的平方根.
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![已知x,y满足 (3x-1)²=-1/2|3x-y-5|,求13x²-y的平方根.](/uploads/image/z/745796-20-6.jpg?t=%E5%B7%B2%E7%9F%A5x%2Cy%E6%BB%A1%E8%B6%B3+%283x-1%29%26%23178%3B%3D-1%2F2%7C3x-y-5%7C%2C%E6%B1%8213x%26%23178%3B-y%E7%9A%84%E5%B9%B3%E6%96%B9%E6%A0%B9.)
已知x,y满足 (3x-1)²=-1/2|3x-y-5|,求13x²-y的平方根.
已知x,y满足 (3x-1)²=-1/2|3x-y-5|,求13x²-y的平方根.
已知x,y满足 (3x-1)²=-1/2|3x-y-5|,求13x²-y的平方根.
(3x-1)²=-1/2|3x-y-5|,
(3x-1)²+1/2|3x-y-5|=0
∴3x-1=0
3x-y-5=0
∴x=1/3
y=-4
13x²-y=13/9+4=49/9
,13x²-y的平方根是±7/3