Check whether x(2x + 3) = x² + 1 is a quadratic equation.

Question

Accepted Answer

To determine whether the given equation is quadratic, we first expand the left side by multiplying x with each term inside the bracket, resulting in 2x² + 3x = x² + 1. Next, we transpose all terms from the right side to the left side, which gives 2x² - x² + 3x - 1 = 0. Simplifying this expression yields x² + 3x - 1 = 0. Since this resulting equation is in the standard form ax² + bx + c = 0 with a non-zero leading coefficient, it is definitely a quadratic equation.

Quadratic Equations

❓ Sibling Questions in this Chapter