已知函数f(x)=x²+bx+c满足条件:f(x-3)=f(5-x),且方程f(x)=x有相等实根.(1)求f(x)的解析式;(2)当x∈[-1,+∞]时f(x)≥2(a-1)x+a+1/4恒成立,求a的取值范围
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![已知函数f(x)=x²+bx+c满足条件:f(x-3)=f(5-x),且方程f(x)=x有相等实根.(1)求f(x)的解析式;(2)当x∈[-1,+∞]时f(x)≥2(a-1)x+a+1/4恒成立,求a的取值范围](/uploads/image/z/2690904-48-4.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dx%26%23178%3B%2Bbx%2Bc%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%3Af%28x-3%29%3Df%285-x%29%2C%E4%B8%94%E6%96%B9%E7%A8%8Bf%28x%29%3Dx%E6%9C%89%E7%9B%B8%E7%AD%89%E5%AE%9E%E6%A0%B9.%281%29%E6%B1%82f%28x%29%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F%EF%BC%9B%EF%BC%882%EF%BC%89%E5%BD%93x%E2%88%88%5B-1%2C%2B%E2%88%9E%5D%E6%97%B6f%EF%BC%88x%EF%BC%89%E2%89%A52%EF%BC%88a%EF%BC%8D1%EF%BC%89x%2Ba%2B1%EF%BC%8F4%E6%81%92%E6%88%90%E7%AB%8B%2C%E6%B1%82a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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