SOLUTION: square root of (x - 6) + square root of (x - 1) =5 It gives the answer 10 but I do not understand how it came to that.

Algebra ->  Square-cubic-other-roots -> SOLUTION: square root of (x - 6) + square root of (x - 1) =5 It gives the answer 10 but I do not understand how it came to that.      Log On


   

Question 644514: square root of (x - 6) + square root of (x - 1) =5
It gives the answer 10 but I do not understand how it came to that.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x+-+6%29+%2B+sqrt%28x+-+1%29+=5

sqrt%28x+-+1%29+=+5+-+sqrt%28x+-+6%29

x+-+1+=+%285+-+sqrt%28x+-+6%29%29%5E2

x+-+1+=+25+-+10%2Asqrt%28x+-+6%29+%2B+x-6

x+-+1+=+19+-+10%2Asqrt%28x+-+6%29+%2B+x

x+-+1+-+x=+19+-+10%2Asqrt%28x+-+6%29

-1=+19+-+10%2Asqrt%28x+-+6%29

-1-19=+-10%2Asqrt%28x+-+6%29

-20=+-10%2Asqrt%28x+-+6%29

-20%2F%28-10%29=+sqrt%28x+-+6%29

2=+sqrt%28x+-+6%29

2%5E2=x+-+6

4=x+-+6

4%2B6=x

10=x

x=10

Remember to check your answer (I'll let you do this)

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