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 $a=5$, $b=-4$ and $c=2$. 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.
$x=\frac{4+\pm \sqrt{-24}}{10}$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 5x^2-4x+2=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=5, b=-4 and c=2. Then substitute the values of the coefficients of the equation in the quadratic formula:<ul><li>\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</li></ul>. 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{-24} using complex numbers. Calculate the power \sqrt{-24} using complex numbers.