Question

What are the roots of x in -10x2 + 12x − 9 = 0?

Answer 1

Do you know how to factor?

Answer 2

Try splitting up the equation and evaluate the problem

Answer 3

discriminant is negative ,so it has imaginary roots.

Answer 4

use quadratic formula to find the roots.

Answer 5

Or complete the square:\[\begin{align*}
-10x^2+12x-9&=-10\left(x^2-\frac{6}{5}x+\frac{9}{10}\right)\\[1ex]
&=-10\left(x^2-\frac{6}{5}x+\frac{9}{25}+\frac{27}{50}\right)\\[1ex]
&=-10\left(x-\frac{3}{5}\right)^2-\frac{27}{5}
\end{align*}\]Set equal to \(0\) and solve for \(x\).