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What is the maximum value of 4(x + 7)(2 - x) + 4(x + 7)(8 - x), over all real numbers x?

 Jan 29, 2022
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First, we need to simplify 4(x+7)(2x)+4(x+7)(8x)into 8x216x+280

 

The maximum value of any quadratic equation is cb2/4a, when the quadratic is in ax2+bx+c. By subsituting, we find that the maximum value for this equation is 288.

 Jan 29, 2022

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