SOLUTION: solve the problem using quadratic equation x^2+x= a^2 +a

Question 1061654: solve the problem using quadratic equation
x^2+x= a^2 +a
Found 3 solutions by solver91311, josmiceli, ikleyn:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

Here, , and

So:

Simplify to find the two values of in terms of

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
To avoid confusion, I'll use capital A

Check my math & maybe get another opinion
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Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
solve the problem using quadratic equation
x^2+x= a^2 +a
~~~~~~~~~~~~~~~~~~~~~

Answer. This equation has two and only two solutions: 1) x = a, and 2) x = -1 -a.

Solution

= ---> = ---> (x+a)*(x-a) = -(x-a), ---> (x+a)*(x-a) + (x-a) = 0 ---> (x+a+1)*(x-a) = 0 ---> Two solutions: 1. x + a + 1 = 0, or x = -a-1, OR/AND 2. x = a.

Solved.

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