SOLUTION: {{{ 2x=sqrt(8-4x) }}}

Question 1207452:
Found 2 solutions by MathLover1, math_tutor2020:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

....square both sides
....divide by

...factor

solutions:

verify solutions:
=>=> true
=>=> false

so, your solution is

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

As the other tutor mentions, the only solution is x = 1.

The other value x = -2 is extraneous.

Here's the graph mentioned.

Let's reflect the square root curve over the x axis to handle

Notice the new intersection point (-2,-4) which is the intersection of y = 2x and y = -sqrt(8-4x)

So if we were allowed to plot the plus minus of then we'd get two solutions for x.
However, we only plot the positive version.

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