求证:无论x,y为何值,4x²-12x+9y²+30y+35的值为正数.
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![求证:无论x,y为何值,4x²-12x+9y²+30y+35的值为正数.](/uploads/image/z/3738573-45-3.jpg?t=%E6%B1%82%E8%AF%81%3A%E6%97%A0%E8%AE%BAx%2Cy%E4%B8%BA%E4%BD%95%E5%80%BC%2C4x%26%23178%3B-12x%2B9y%26%23178%3B%2B30y%2B35%E7%9A%84%E5%80%BC%E4%B8%BA%E6%AD%A3%E6%95%B0.)
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求证:无论x,y为何值,4x²-12x+9y²+30y+35的值为正数.
求证:无论x,y为何值,4x²-12x+9y²+30y+35的值为正数.
求证:无论x,y为何值,4x²-12x+9y²+30y+35的值为正数.
原式=(4x^2-12x+9)+(9y^2+30y+25)+1
很简单,用平方形式就行了