SOLUTION: sqrt(7-x)+2=1-x

Question 1037662: sqrt(7-x)+2=1-x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
sqrt(7-x)+2=1-x
sqrt(7-x) = -1-x
Square both sides
7-x = x^2 + 2x + 1
x^2 + 3x - 6 = 0

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=33 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.37228132326901, -4.37228132326901. Here's your graph:

=============
Check each answer:
x =~ 1.37
Doesn't work unless you use sqrt(7-x) = -2.37, not the principal root.
Ignore.
===================
x = -4.37
sqrt(11.37)+2 =? 5.37
Is a solution.

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