SOLUTION: seven more then 11 times a number is 6 times the square of the number

Question 184027: seven more then 11 times a number is 6 times the square of the number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Just write an equation for what it says:
seven more then 11 times a number is 6 times the square of the number
11x + 7 = 6x^2
:
0 = 6x^2 - 11x - 7; our old friend, the quadratic equation!
:
Unless they're trying to torment us, it should factor.
(2x + 1) (3x - 7) = 0
Two solutions
2x = -1
x =
and
3x = +7
x =
x = 2
:
:
Check the 1st solution using x = -.5 in the original statement:
"seven more then 11 times a number is 6 times the square of the number"
11(-.5) + 7 = 6(-.5)^2
-5.5 + 7 = 6(.25)
+1.5 = +1.5
:
You can check the the x = solution using a calc:

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