SOLUTION: can some one please help me i have to solve by using the quadratic formula 3x^2=11x+4

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Question 80798: can some one please help me i have to solve by using the quadratic formula
3x^2=11x+4
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
QUESTION:

solve by using the quadratic formula
3x^2=11x+4

ANSWER:
General form of a quadratic equation is,
ax^2 + bx + c = 0 ----------------(1)

Given equation is,
3x^2=11x+4

This can be written in the standered form by transforming each term on the right side to left side as follows:
3x^2 - 11x - 4 = 0 -----------------(2)

Compare (1) and (2).... we have,

a = 3 , b = -11 and c = -4

Using quadratic formula, the solution of this equation is given by,


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

Substitute the values of a, b and c in this formula.... we have,



x+=+%28+-%28-11%29+%2B-+sqrt%28+%28-11%29%5E2-4%2A3%2A%28-4%29+%29%29%2F%282%2A3%29




x+=+%2811+%2B-+sqrt%28+121%2B48+%29%29%2F%286%29



x+=+%2811+%2B-+sqrt%28+169%29%29%2F%286%29+



x+=+%2811+%2B-+13%29%2F%286%29




==> x = ( 11 + 13 )/6 or x = (11 - 13 ) /6



==> x = 24/6 or x = -2/6



==> x = 4 or x = -1/3 , which is the required solution.



Hope you understood.

Regards.

Praseena.