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The graphs of $y = x^2 - 7x + 7$ and the line $y = -3$ intersect at two points. What is the sum of the $x$-coordinates of these two points?

 Aug 9, 2023
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Put in y = -3   into the first equation to get : 

-3 = x^2 -7x+ 7     then 

x^2 -7x + 10 = 0      now you can factor to find 'x' values or use the Quadrtatic Formula 

(x-5)(x-2) = 0      shows 'x' values of 5 and 2       the sum would then be   7 

 Aug 9, 2023
edited by ElectricPavlov  Aug 9, 2023

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