How do you solve 3x^2+4x-3=0 using the quadratic formula?

1 Answer
Jul 14, 2016

x=(-2+-2sqrt(13))/3

Explanation:

the quadratic formula

x=(-b+-sqrt(b^2-4ac))/(2a)

solves equations of the type:

ax^2+bx+c=0

So, in this case, since

a=3; b=4: c=-3,

you have

x=(-4+-sqrt(4^2-4*3*(-3)))/(2*3)

=(-4+-sqrt(16+36))/6

=(-4+-sqrt(52))/6

=(-4+-4sqrt(13))/6

=(-2+-2sqrt(13))/3