Question

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

Answer 1

Answer: B. x= 3

Have a good day :)

Answer 2

The equation is:


`4+ √(5x+66)=x+10`

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


`√(5x+66)=x+10-4`


`√(5x+66)=x+6`

Square both sides:


`5x+66=(x+6)^2`

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.

Answer: option 3. x = - 10 or x = 3