SOLUTION: Solve the equation. Square root sign x +43= x+1 The solution set is { }

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Question 892955: Solve the equation.
Square root sign x +43= x+1
The solution set is { }

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Use sqrt for sq roots.
sqrt(x) + 43 = x+1
sqrt(x) = x - 42
Square both sides
x = x^2 - 84x + 1764
x^2 - 85x + 1764 = 0
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=169 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 49, 36. Here's your graph:

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