SOLUTION: Solve... 1. 9x^2=14 2. x^2+8=17

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Question 86502: Solve...
1. 9x^2=14
2. x^2+8=17
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for the unknown variable "x
.
1. 9x^2=14 [solve for the x-term]
9x%5E2%2F9%29= %2814%2F9%29
%28x%5E2%29 = %2814%2F9%29
%28sqrt%28x%5E2%29%29 = %28sqrt%2814%2F9%29%29 [take the square root of both sides to find the value of "x"]
.
x= %28sqrt%2814%29%2F3%29
.
checking:
9x^2=14
%289%28sqrt%2814%29%2F3%29%5E2%29=14
%289%2A14%2F9%29%29 = 14
14=14 [checks out]
.
2. x^2+8=17 [solve for the x-term]
%28x%5E2%2B8-8%29=17-8
%28x%5E2%29 = 9
%28sqrt%28x%5E2%29%29 = sqrt%289%29%29[take the square root of both sides to find the value of "x"]
.
x=3
checking: x^2+8=17
(3)^2+8=17
9+8=17
17=17 [checks out]