Solve \( 5 x^{2}=20 \)

To solve the equation \( 5 x^{2} = 20 \), first, divide both sides by 5 to simplify it: \[ x^{2} = \frac{20}{5} = 4 \] Next, take the square root of both sides: \[ x = \pm \sqrt{4} = \pm 2 \] So the solutions to the equation are \( x = 2 \) and \( x = -2 \). Understanding quadratic equations can change how you perceive problem-solving in math! Quadratics often represent real-world scenarios, like projectile motion or area of geometric shapes, showing the beauty of mathematics in explaining the world around us. To avoid common mistakes, always ensure that you isolate the variable correctly before taking roots. It's also crucial not to forget both the positive and negative solutions when working with squared terms! Mistakes can easily happen if you overlook the "plus-minus" when dealing with square roots.