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Calculadora de ecuaciones cuadráticas

Resolver ecuaciones cuadráticas paso a paso

La calculadora resolverá la ecuación cuadrática paso a paso, ya sea completando el cuadrado o utilizando la fórmula cuadrática. Encontrará tanto las raíces reales como las imaginarias (complejas).

Calculadora relacionada: Calculadora discriminante

Enter a quadratic equation:

For example, x^2+4x+3=0 or x^2+4=5x.

Choose a method:

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Solution

Your input: solve the quadratic equation x214x+45=0 by using quadratic formula.

The standard quadratic equation has the form ax2+bx+c=0.

In our case, a=1, b=14, c=45.

Now, find the discriminant using the formula D=b24ac: D=(14)24145=16.

Find the roots of the equation using the formulas x1=bD2a and x2=b+D2a

x1=(14)1621=5 and x2=(14)+1621=9

Answer: x1=5; x2=9