What is the solution of 4+√5x+66=x+10? 1.x=-10 2.x=3 3.x=-10 or x=3 4.no solution

The equation is:



To solve it, leave the square root alone in one side:





Square both sides:



Expand the parenthesis:

5x + 66 = x^2 + 12x + 36

x^2 + 12x - 5x + 36 - 66 = 0

x^2 + 7x - 30 = 0

Factor:

(x + 10)(x - 3) = 0

=> x + 10 = 0 => x = - 10,

or x - 3 = 0 => x = 3

=> Solutions x = - 10 or x = 3.

option 3. x = - 10 or x = 3