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Algebra
Quadratic Equations Calculator

Enter quadratic equations expression in this form x^2+4x+8

Solves quadratic equations

Quadratic equations formula

x = \frac{(-b ± \sqrt{(b^2 – 4ac)}}{2a}

A quadratic equation is an equation that has a variable raised to the power of 2 (or squared) as its highest power. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are numbers.

Example:

Let’s take the quadratic equation x^2 + 4x + 4 = 0. We want to find the values of x that make this equation true.

First, we look at the coefficients of the equation: a = 1, b = 4, and c = 4.

Next, we can use the quadratic formula to find the solutions for x:

x = \frac{(-b ± \sqrt{(b^2 – 4ac)}}{2a}

 

Plugging in the values of a, b, and c:
x = (-4 ± √(4^2 – 4*1*4)) / 2*1
x = (-4 ± √(16 – 16)) / 2
x = (-4 ± √0) / 2
x = (-4 ± 0) / 2
x = -4 / 2
x = -2

 

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