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CameronVand21
15.04.2021 •
Mathematics
Tell whether the sums or products of these
numbers will be EVEN or ODD. Then do the
math to solve and check!
418 + 764 31+34 55x3 4,655,343 x 340 7x3449 3,344+73,547 66x80,998
Solved
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Ответ:
To complete the square on the left we add ((5-k)/2)² to each side:
(x+(5-k)/2)²=((5-k)/2)²-4.
Take a look at the right hand side: when this is zero we have equal roots:
((5-k)/2)²=4, (5-k)/2=±2, 5-k=±4, k=5∓4, giving us k=1 or 9.
(5-k)/2 is 2 or -2. So if k=9, (x-2)²=0. And x=2 is the positive root.