Solve for the variable x in the equation shown below.
4x2 - 11x = 3

two answers: positive 3 and negative 1/4

Step-by-step explanation:

1). move all parts of the problem to one side of the equations. 4x^2-11x=3 subtract 3 from both sides of the equation to get 4x^2-11x-3=0

2). you can now use the quadratic equation to solve the problem (-b+/-sqrt(b^2-4ac))/2a A is the coefficient of x^2 B is the coefficient of x and C is the integer value, so A= 4 B= -11(negative 11) C= -3 (negative 3)

3). solve the quadratic equation using those values.

(11+/-sqrt(11^2-4*4*-3))/2*4

(11+/- sqrt(121-(-48))/8

(11+/- sqrt(169))/8

(11+/- 13)/8

now the equations splits into 2 different equations: (11+13)/8 and (11-13)/8

(11+13)/8 => 24/8 =3

(11-13)/8 => -2/8 =-1/4