SOLUTION: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer      Log On


   

Question 442639: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
3x^2=-4x+2
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3x^2 = -4x + 2
put equation into the standard form
3x^2 + 4x - 2 = 0
The quadratic equation
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
In this equation: a=3, b=4, c=-2
x+=+%28-4+%2B-+sqrt%284%5E2-4%2A3%2A-2+%29%29%2F%282%2A3%29+
:
x+=+%28-4+%2B-+sqrt%2816-%28-24%29+%29%29%2F6+
Minus a minus is a plus
x+=+%28-4+%2B-+sqrt%2816%2B24+%29%29%2F6+
:
x+=+%28-4+%2B-+sqrt%2840+%29%29%2F6+
:
Find the square root. Two solutions
x+=+%28-4+%2B+6.3245%29%2F6+
x = 2.3245%2F6
x = .387
and
x+=+%28-4+-+6.3245%29%2F6+
x = -10.3245%2F6
x = -1.721