Make a conjecture about the next item in the sequence. -2, 3, 8, 13, 18,
1 answer:
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Answer:
<u>Algebraically</u>
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
<u>Graphically</u>
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
