SOLUTION: Solve for x in terms of a: 1.) 3x^2+ax=a^2

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Question 106313This question is from textbook
: Solve for x in terms of a:
1.) 3x^2+ax=a^2 This question is from textbook

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x in terms of a:
1.) 3x%5E2%2Bax=a%5E2 subtract a%5E2 from both sides
3x%5E2%2Bax-a%5E2=0 quadratic in standard form.
A=3
B=a
C=-a^2
We can solve using the quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-a+%2B-+sqrt%28+a%5E2-4%2A3%2A%28-a%5E2+%29%29%29%2F%282%2A3%29+
x+=+%28-a+%2B-+sqrt%28+a%5E2%2B12%2Aa%5E2+%29%29%2F%286%29+
x+=+%28-a+%2B-+sqrt%28+13a%5E2+%29%29%2F%286%29+
x+=+%28-a+%2B-+a%2Asqrt%28+13%29%29%2F%286%29+
x+=+a%28-1+%2B-+sqrt%28+13+%29%29%2F%286%29+
Check my work.

Hope this helps---ptaylor