3 years ago

HELP!

Mathematics

1 answer:

Korolek [52]3 years ago

3 0

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.

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