A quadratic equation is an equation of the form ax^{2} + bx + c = 0, where a, b, and c are constants, and x is the variable. The quadratic formula is used to solve this type of equation.
x^{2} + x + = 0 |
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The quadratic formula is:
where sqrt() denotes the square root function. This formula gives the values of x that satisfy the quadratic equation.
Suppose we want to solve the quadratic equation 2x^{2} - 5x + 3 = 0. We can use the quadratic formula by identifying a = 2, b = -5, and c = 3:
Therefore, the solutions to the quadratic equation are x = 1 and x = 1.5.
The quadratic equation has many applications in real life, such as in physics, engineering, and finance. For example, it can be used to model the trajectory of a projectile, the shape of a parabolic reflector, or the growth of a company's profits over time.
By using our online quadratic equation calculator, you can easily solve quadratic equations and apply them to real-world problems.