SOLUTION: HELP!!! Radicals!!!!
what is 2 sq root x-1 + 2 sq root x+4= 5. Please explain steps
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Question 235956: HELP!!! Radicals!!!!
what is 2 sq root x-1 + 2 sq root x+4= 5. Please explain steps
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I'm guessing you mean:
Square both sides: (use the FOIL process on the LHS)
 + 8\sqrt{(x-1)(x+4)}\ + 4(x\ + 4)\ =\ 25)
Collect like terms and leave the radical term in the LHS and everything else in the RHS:
(x+4)}\ =\ -8x\ +\ 13)
(Verification of that last step is left as an exercise for the student)
Square both sides again
(x\ +\ 4)\ = 64x^2\ -\ 208x\ + 169)
Expand the binomial multiplication in the LHS:
And collect terms:
Check:
\ -\ 1}\ +\ 2\sqrt{\left(\frac{17}{16}\right)\ +\ 4}\ =^?\ 5)
You can do the arithmetic to see if it is right or not.
John
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