Final Answer
Step-by-step Solution
Problem to solve:
Specify the solving method
To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=3$, $b=-2$ and $c=-1$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
Learn how to solve quadratic equations problems step by step online.
$x=\frac{2\pm \sqrt{{\left(-2\right)}^2-4\cdot 3\cdot -1}}{2\cdot 3}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 3x^2-2x-1=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=3, b=-2 and c=-1. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplify \frac{2\pm \sqrt{{\left(-2\right)}^2-4\cdot 3\cdot -1}}{2\cdot 3}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Subtract the values 2 and -4.