SOLUTION: Write a quadratic equation having the given numbers as solutions. -3,only solution(Hint:It must be a repeated solution.)

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Question 745780: Write a quadratic equation having the given numbers as solutions.
-3,only solution(Hint:It must be a repeated solution.)
Found 2 solutions by josgarithmetic, nerdybill:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Quadratic, means you want x%5E2 or a%2Ax%5E2, for some number, 'a'. If -3 is the only and repeated solution, then this is only ONE root. Your equation is %28x%2B3%29%5E2=0.


Naturally, a=1.

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic equation having the given numbers as solutions.
-3,only solution(Hint:It must be a repeated solution.)
.
If -3 is a solution, then a factor MUST be:
(x+3)
if it is a "quadratic" it must be of degree 2
so (x+3) is repeated.
.
The quadratic equation is then
(x+3)(x+3)
we FOIL the above to get the equation:
x^2+3x+3x+9
x^2+6x+9