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 $a=9$, $b=-54$ and $c=-39$. 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.
$x=\frac{54\pm \sqrt{{\left(-54\right)}^2-4\cdot 9\cdot -39}}{2\cdot 9}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 9x^2-54x-39=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=9, b=-54 and c=-39. 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{54\pm \sqrt{{\left(-54\right)}^2-4\cdot 9\cdot -39}}{2\cdot 9}. 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 54 and -65.726707.