This online calculator solves quadratic equation, finds factored form of a quadratic trinomial, finds area between the graph and xaxis and draws the graph of quadratic function. The calculator will generate a stepbystep explanation for each computation.

This calculator can be used to: solve quadratic equation, factor quadratic trinomial, find area between the graph and xaxis, plot quadratic function.
To solve equation $ax^2 + bx + c = 0$ , this calculator uses formula:
$$x = \frac{b \pm \sqrt{b^24ac}}{2a}.$$See this solver for step by step explanation.
To factor trinomial $ax^2 + bx + c$ , this calculator uses formula
$$ax^2 + bx + c = a(x  x_1)(x  x_2)$$Where $x_1$ and $x_2$ are solutions of the quadratic equation. If $x_1$ and $x_2$ don't exist that trinomial cannot be factored
To area between the graph and xaxis this calculator uses formula
$$A = a(x_1^3x_2^3) + b(x_1^2x_2^2) + c(x_1x_2)$$Where $x_1$ and $x_2$ are solutions of the quadratic equation. $ax^2 + bx + c = 0$. If $x_1$ and $x_2$ don't exist than area doesn't exist too. If $x_1 = x_2$ than $area = 0$.
See this calculator for step  by  step graphing.
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