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 $a=10$, $b=9$ and $c=12$. 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.
$x=\frac{-9\pm \sqrt{9^2-4\cdot 10\cdot 12}}{2\cdot 10}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 10x^2+9x+12=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=10, b=9 and c=12. 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{-9\pm \sqrt{9^2-4\cdot 10\cdot 12}}{2\cdot 10}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Calculate the power \sqrt{-399} using complex numbers.