The solution to the expression (6) and (7) are 47 and (-2, -7) respectively
Given the equation below
√x + 2 = 7
WE are to determine the value of x
Square both sides to have:
x + 2 = 7²
x + 2 = 49
x= 49 - 2
x = 47
For the equation √x+11 - 5 = x
√x+11 = x + 5
Square both sides
x+11 = (x+5)²
x + 11 = x² + 10x + 25
x² + 10x + 25 - x - 11 = 0
x² + 9x + 14 = 0
Factorize
x² + 9x + 14 = 0
x² + 7x +2x + 14 = 0
x(x+7) + 2(x+7) = 0
x = -2 and -7
Hence the solution to the expression (6) and (7) are 47 and (-2, -7) respectively