HELP! Consider the below equation:

0.5x-7= sqrt(-5x+29)

Give 2 different ways to show that the equation does not have any solutions. One way must be solving algebraically, and the other way must be by graphing.

Algebraically

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.

Graphically

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.

900 degrees

step-by-step explanation: