SOLUTION: X2/2×-6=9/6×-18 solve for x

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Question 1185270: X2/2×-6=9/6×-18 solve for x
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2F2%29%2A%28-6%29=%289%2F6%29%2A%28-18%29 solve for x

x%5E2%2A%28-3%29=9%2A%28-3%29
x%5E2=9%2A%28-3%29%2F%28-3%29
x%5E2=9
x=sqrt%289%29

x=3 or x=-3


Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


X2/2×-6=9/6×-18 solve for x

(1) Don't mix "X" and "x" in the same problem to denote the same number. It is perfectly legal (and often convenient) to use both lower- and upper-case letters to represent different quantities.

(2) It is also possible you intended your lower-case "x" to be a multiplication symbol (as the other tutor interpreted it). That is an extremely bad practice, since it is easily confused with the variable x.

(3) It is standard to use "^^" (shift-6) to represent exponentiation: "x^2" instead of just "x2"

(4) Use of parentheses is often critical. The equation as you show it is

x^2/2x-6=9/6x-18 = x%5E2%2F2x-6=9%2F6x-18

I suspect the intended equation is

x^2/(2x-6)=9/(6x-18) = x%5E2%2F%282x-6%29=9%2F%286x-18%29

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So, having gotten past the very poor presentation of your equation, I suspect this is what we are supposed to solve:

x%5E2%2F%282x-6%29=9%2F%286x-18%29

Divide numerator and denominator on the right by 3

x%5E2%2F%282x-6%29=3%2F%282x-6%29

x%5E2=3 (noting the restriction that x can't be 3 because it would make the denominators 0)
ANSWER: x=sqrt%283%29 or x=-sqrt%283%29