Quote:solve for x using the quadratic formula

3x^2-x-14=0

Quadratic Formula states that the solution of quadratic equation of the form ax^2 +bx +c=0

x= {-b+sqrt(D) }/2a and x={-b-sqrt(D)/2a}
Where D= b2 -4ac

Comparing the given equation. 3x^2 −x − 14 = 0

With standard equation ax2 + bx + c = 0
We have
a=3
b=-1
c=-14
Calculate D= b2 -4ac
=(-1)2-4*3*(-14)
=169
D =169
=13
x= {-(-1)+13}/6 and {-(-1)-13}/6

x=2.33 Taking Positive sign
x=-2 Taking Negative Sign