Question

√7x+123 + 11 = 20
Solve for x

Answer 1

`√(7) x+123 + 11 = 20 \\ ⇒ √(7) x + 134 = 20 \: \: \\ ⇒ √(7) x = 20 - 134 \\ ⇒ √(7) x = - 114 \\squring \: \: both \: \: sides \\ ⇒ 7 {x}^(2) = 12996 \\ ⇒ {x}^(2) = 1856.57 \\ ⇒ x = 43.08`

x = – 43.08

Answer 2

Therefore, the solution to the equation √7x+123 + 11 = 20 is x = -6

Explanation:

To solve this equation for x, we need to isolate the x term on one side of the equation. We can start by subtracting 11 from both sides of the equation to get:√7x+123 = 9Next, we can square both sides of the equation to eliminate the square root:(√7x+123)^2 = 9^2This simplifies to:7x+123 = 81Subtracting 123 from both sides gives us:7x = -42Finally, dividing both sides by 7 gives us the solution:x = -6