已知根号x+3y-5与|2x-y-3|互为相反数 求根号9x²-12x+4 +根号25y²-20y+4的值
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![已知根号x+3y-5与|2x-y-3|互为相反数 求根号9x²-12x+4 +根号25y²-20y+4的值](/uploads/image/z/3153020-68-0.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A0%B9%E5%8F%B7x%2B3y-5%E4%B8%8E%7C2x-y-3%7C%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0+%E6%B1%82%E6%A0%B9%E5%8F%B79x%26%23178%3B-12x%2B4+%2B%E6%A0%B9%E5%8F%B725y%26%23178%3B-20y%2B4%E7%9A%84%E5%80%BC)
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已知根号x+3y-5与|2x-y-3|互为相反数 求根号9x²-12x+4 +根号25y²-20y+4的值
已知根号x+3y-5与|2x-y-3|互为相反数 求根号9x²-12x+4 +根号25y²-20y+4的值
已知根号x+3y-5与|2x-y-3|互为相反数 求根号9x²-12x+4 +根号25y²-20y+4的值
由题意可知:x+3y-5=0
2x-y-3=0
解得:x=2 y=1
所以根号9x²-12x+4 +根号25y²-20y+4
=根号(3x-2)的平方+根号(5y-2)的平方
=3x-2+5y-2
=3*2-2+5*1-2
=4+3=7
根号x+3y-5与|2x-y-3|互为相反数
则必有:
x+3y-5=0
2x-y-3=0
解得:x=2;y=1
根号9x²-12x+4 +根号25y²-20y+4
=根号(3x-2)²+根号(5y-2)²
=|3x-2|+|5y-2|
=5+3
=8