SOLUTION: How do I solve the sum of twice a number and its square is 143? I can write out the equation, but I don't know the answer.

Question 281519: How do I solve the sum of twice a number and its square is 143? I can write out the equation, but I don't know the answer.
Found 2 solutions by Mathematicians, JBarnum:
Answer by Mathematicians(84) (Show Source): You can put this solution on YOUR website!
Judging by your question, writing out the equation is:

In order to solve this equation, you need to get everything on one side:

We need to find two numbers that add up to be positive 2 and multiply to be 143. 143 is 13 * 11 which is a coincidence because those are two apart from each other.
We get

Using zero product principle, we know that

or

Both of these are your answers! See ya around!
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
this is a quadratic equation , set it equal to 0
a=1 b=2 c=-143

x=,
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