কীভাবে দ্বিঘাত অসমতা সমাধান করতে হয়

There are several ways to solve quadratic inequalities. I will show you one way now: graphing them on the coordinate plane. We can start out with two inequalities: $y > x^2$ and $y < 4x^2$. First, I will graph the first equation: $y = x^2$. Now, we can choose a random point inside the curve such as $(0, 4)$ and test if it fits the inequality. Since $y(4)$ is larger than $x^2(0)$, we should remember that the section inside the blue curve is 'true'.

Now, let's look at the second inequality, $y < 4x^2$ and its equation $y = 4x^2$.

The green curve is the equation $y = 4x^2$. Again, let's choose a random point inside the green curve such as $(0, 5)$ and test it. $y(5)$ is actually greater than $x^2(0)$, so the region outside the green curve is 'true'. Therefore, the region inside the blue curve but outside the green curve is 'true' for both inequalities.

Good job on this section!