Question

The square root of the sum of a number and 1 is equal to twice the square root of 3. (radical equations)

Answer 1

Answer:

Let the number be x. The problem is represented by the equation below:

2√(x+3) = 2x

Square both sides:

4(x+3) = 4x²

Divide through by 4

x+3 = x²

x²-x-3 = 0

Solve the quadratic equation using the quadratic formula

x = (1+√13)/2 or (1-√13)/2

A quick check shows the latter does not satisfy the original equation so

x = (1+√13)/2