What is the solution of the equation?

7

Step-by-step explanation:

  subtracted 4 from both sides

  squared both sides to eliminate square root

2x - 5 = x² - 8x + 16         expanded right side

       0 = x² - 10x + 21        subtracted 2x and added 5 on both sides

        0 = (x - 3) (x - 7)        factored right side

0 = x - 3     0 = x - 7          applied zero product property

  x = 3          x = 7             solved for x

Check:

x = 3

1 + 4 = 3  

FALSE!  x = 3 is NOT a valid solution

x = 7

3 + 4 = 7  

TRUE! x = 7 IS a valid solution

it is not that hard all u have to do is plot the graph

step-by-step explanation: