Answer:
3
Step-by-step explanation:
The quadratic formula is used to solve a quadratic equation in standard form, based on the values of the coefficients.
Solution
The standard-form quadratic ax² +bx +c = 0 has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
For the quadratic 3x² +4x -2 = 0, we have a=3, b=4, c=-2 and the formula gives ...
[tex]x=\dfrac{-4\pm\sqrt{4^2-4(3)(-2)}}{2(3)}=\dfrac{-4\pm\sqrt{16+24}}{6}\\\\x=\dfrac{-4\pm 2\sqrt{10}}{6}=\dfrac{-2\pm\sqrt{10}}{3}[/tex]
The denominator in the solution is 3.
