Quadratic equation calculator
Quadratic equation calculator
A quadratic equation calculator is a tool used to find the solutions of a quadratic equation, which is an equation in the form of ax^2 + bx + c = 0. Here are the steps to use a quadratic equation calculator:
- Identify the values of a, b, and c in the quadratic equation ax^2 + bx + c = 0.
- Enter the values of a, b, and c into the quadratic equation calculator.
- Click “Calculate” to find the solutions of the quadratic equation.
Here’s an example to illustrate how to use a quadratic equation calculator:
Suppose you have a quadratic equation of the form 2x^2 + 3x – 5 = 0. To find the solutions of the quadratic equation, you would follow these steps:
- Identify the values of a, b, and c: a = 2, b = 3, c = -5.
- Enter the values of a, b, and c into the quadratic equation calculator: a=2, b=3, c=-5.
- Click “Calculate” to find the solutions of the quadratic equation.
The solutions of the quadratic equation would be calculated as follows:
x = (-b ± sqrt(b^2 – 4ac)) / 2a x = (-3 ± sqrt(3^2 – 4(2)(-5))) / 2(2) x = (-3 ± sqrt(9 + 40)) / 4 x = (-3 ± sqrt(49)) / 4
The solutions of the quadratic equation are:
x = (-3 + 7) / 4 = 1/2 x = (-3 – 7) / 4 = -5/2
Therefore, the solutions of the quadratic equation are x = 1/2 and x = -5/2.