SOLUTION: The sum of the square of a number and 4 times the number is 12. The product of a numberand 6 moe than twicethe number is 20.

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Question 473456: The sum of the square of a number and 4 times the number is 12.
The product of a numberand 6 moe than twicethe number is 20.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement:
:
The sum of the square of a number and 4 times the number is 12.
x^2 + 4x = 12
x^2 + 4x - 12 = 0
Factors to
(x+6)(x-2) = 0
Two solutions
x = -6
x = 2
You can check these solutions in the original statement
:
:
The product of a number and 6 more than twice the number is 20.
x(2x+6) = 20
2x^2 + 6x - 20 = 0
Simplify divide by 2
x^2 + 3x - 10 = 0
you should be able to solve and check this out now