Graphical Equation Solver

$y=f(x)$

Graphical methods provide a visual way to find approximate solutions to equations.

For a single equation like $f(x) = 0$, the solutions (roots) are the x-values where the graph of $y = f(x)$ intersects the x-axis.
For simultaneous equations, the solution is the point (or points) where their graphs intersect. The coordinates of these intersection points satisfy all equations simultaneously.

Equation Solvers & Plotters

Enter coefficients for $a_1x + b_1y = c_1$ and $a_2x + b_2y = c_2$.

$a_1x + b_1y = c_1$

$a_1$:

$b_1$:

$c_1$:

$a_2x + b_2y = c_2$

$a_2$:

$b_2$:

$c_2$:

Enter coefficients to plot $y = ax^2 + bx + c$ and find roots (x-intercepts).

$ax^2 + bx + c = 0$

$a$:

$b$:

$c$:

Enter coefficients for $y = m_1x + k_1$ and $y = ax^2 + bx + c$.

$y = m_1x + k_1$

$m_1$:

$k_1$:

$y = ax^2 + bx + c$

$a$:

$b$:

$c$:

Enter coefficients to plot $y = ax^3 + bx^2 + cx + d$ and find roots (x-intercepts).

$ax^3 + bx^2 + cx + d = 0$

$a$:

$b$:

$c$:

$d$:

Enter any mathematical expression in terms of 'x' (e.g., `sin(x)`, `x^2 + 2x - 1`, `log(x)`). You can plot multiple expressions separated by commas.

Expression(s) $f(x)$:

X Min:

X Max:

Y Min:

Y Max: