SOLUTION: find the roots of the following problems: 5squareroot of x,-x=6. and x^2-8=17. show all work

Question 223728: find the roots of the following problems:
5squareroot of x,-x=6.

and x^2-8=17.

show all work

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
5sqrtx,,,,,with -x=6 or x=-6
.
5 sqrt (-6)
.
5i(sqrt6),,,,,,with i=sqrt(-1)
.
.
or if problem is ,,,,,,5sqrtx -x =6
.
5sqrtx =x+6,,,,,,,,square both sides
.
25*x =(x+6)^2 = x^2 +12x +36
.
0= x^2 -13x +36,,,,,factor
.
(x-9)(x-4) =0
.
x=9,,,,4
.
.
2nd problem,,,,,x^2 -8 = 17
.
x^2 = 9
.
x= +/- 3
.
.

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