SOLUTION: √(x-3)+ √(x+5)= 4 Thanks so much in advance:)

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Question 813745: √(x-3)+ √(x+5)= 4
Thanks so much in advance:)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
Requires squaring TWICE.

The first squaring:




The second squaring:

.
and YOU continue from here. This will be a quadratic equation in x which you can solve by general solution to a quadratic equation, or possibly by factoring.
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

√(x-3)+ √(x+5)= 4
Thanks so much in advance:)



----- Subtracting from each side

------ Squaring both sides of equation













------ Squaring both sides of equation



576 = 64x + 320

64x = 576 - 320

64x = 256

, or

You can do the check!!

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