SOLUTION: . Solve quadratic equation by quadratic formula. Solve: x2 + 3x + 1 = 0 a = 1, b = 3, c = 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: . Solve quadratic equation by quadratic formula. Solve: x2 + 3x + 1 = 0 a = 1, b = 3, c = 1       Log On


   

Question 40334: . Solve quadratic equation by quadratic formula.



Solve: x2 + 3x + 1 = 0
a = 1, b = 3, c = 1
Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
Solve quadratic equation by quadratic formula.
x2 + 3x + 1 = 0
When we use the quadratic formula: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
we simply need to "plug-in" the corresponding values.
REMEMBER: The -b in this formula is the OPPOSITE of the value of b.
Now we simply insert the coefficients of our equation such that a = 1, b = 3, c = 1
y+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A1+%29%29%2F%282%2A1%29+
and solve...
y+=+%28-3+%2B-+sqrt%28+9+-+4+%29%29%2F%282%29+
and...
y+=+%28-3+%2B-+sqrt%28+5+%29%29%2F%282%29+
This is pretty much the most it can be simplified.
So our solution set would be...
y+=+%28-3+%2B+sqrt%28+5+%29%29%2F%282%29+ , y+=+%28-3+-+sqrt%28+5+%29%29%2F%282%29+
I hope this helps.
Good Luck!