Quadratic formula Calculator

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Example

Created on 2024-06-20Asked by Alexander Davis (Solvelet student)

Find the solutions to the quadratic equation

ax^2 + bx + c = 0

using the quadratic formula.

Solution

To find the solutions to the quadratic equation

ax^2 + bx + c = 0

using the quadratic formula: 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 Levi White on Solvelet

1. Use the quadratic formula to solve the equation

x^2 - 6x + 8 = 0

.2. Find the vertex of the parabola

y = x^2 - 4x + 3

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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