Quadratic Equations Calculator

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Example

Created on 2024-06-20Asked by Jack White (Solvelet student)

Solve the quadratic equation

ax^2 + bx + c = 0

Solution

To solve the quadratic equation

ax^2 + bx + c = 0

: 1. Use the quadratic formula:

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.

2. Substitute the values of

a

b

, and

c

into the quadratic formula and simplify. 3. If

b^2 - 4ac

is non-negative, there are two real roots. If it is negative, there are two complex roots. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Amelia Taylor on Solvelet

1. Solve the equation

x^2 - 4x + 4 = 0

.2. Find the roots of the quadratic equation

2x^2 + 5x - 3 = 0

DefinitionFinally, there are several ways to solve a quadratic equation, which is a polynomial equation in the form of, in which,, and are constants and : factoring, completing the square, and the quadratic formula, Example: The equation x2−5x+6=0 has solutions x=2 and x=3 found by factoring.

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