SOLUTION: Solve the equation 3x^2+2x-1=0 using the quadratic formula. Find the exact solutions. Then approximate any radical solutions and round to the nearest hundredth

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the equation 3x^2+2x-1=0 using the quadratic formula. Find the exact solutions. Then approximate any radical solutions and round to the nearest hundredth      Log On


   

Question 942199: Solve the equation 3x^2+2x-1=0 using the quadratic formula. Find the exact solutions. Then approximate any radical solutions and round to the nearest hundredth
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%5E2%2B2x-1=0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A3%2A%28-1%29+%29%29%2F%282%2A3%29+
x+=+%28-2+%2B-+sqrt%28+4%2B12+%29%29%2F6+
x+=+%28-2+%2B-+sqrt%28+16+%29%29%2F6+
x+=+%28-cross%282%291+%2B-+cross%284%292%29%2Fcross%286%293+
x+=+%28-1+%2B-+2%29%2F3+
exact solutions:
x+=+%28-1+%2B+2%29%2F3+
highlight%28x+=+1%2F3%29+
and
x+=+%28-1+-2%29%2F3+
x+=+-3%2F3+
highlight%28x+=+-1%29+
approximate:highlight%28x+=+0.33%29+
highlight%28x+=+-1%29+-exact