Answer: X = 10.20240940...
Explanation:
x(2x + 9) = 2x^2 + 9x
2x^2 + 9x = 300
- 300 ON BOTH SIDES
2x^2 + 9x - 300 = 0
SOLVE USING THE QUADRATIC FORMULA
x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)
When all the values are plugged in:
When using "+" in the equation you should get:
x = 10.20240940…
When using "-" in the equation you should get:
x = −14.70240940…
Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...
YOUR ANSWER IS: x = 10.20240940...