SOLUTION: Solve. {{{ sqrt(x+6)+sqrt(2-x)=4 }}}

Question 58843: Solve.

Answer by aaaaaaaa(138) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -2, -2. Here's your graph:

Let's check if the solution -2 works:

There you go!
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