Quadratic Equation Solver
MATHSolve quadratic equations ax²+bx+c=0 with real solutions.
📖 How to Use Quadratic Equation Solver
1
Enter coefficients a, b, and c
For the equation ax²+bx+c=0, enter each coefficient.
2
View solutions
The solver shows real roots using the quadratic formula, or indicates complex roots if the discriminant is negative.
💡 Examples
Two real roots
INPUT
a=1, b=-5, c=6→
OUTPUT
x = 3 or x = 2 (roots of x²-5x+6=0)Difference of squares
INPUT
a=1, b=0, c=-9→
OUTPUT
x = 3 or x = -3 (roots of x²-9=0)Complex roots
INPUT
a=1, b=0, c=1→
OUTPUT
No real roots (complex: x = ±i)🚀 Pro Tips
✓The discriminant (b²-4ac) tells you the nature of roots: >0 two real roots, =0 one repeated root, <0 complex roots.
✓Always check your answer by substituting back: if x=3, does 1(3)²-5(3)+6 = 0?
✓Factoring is faster when roots are integers — use the quadratic formula when factoring is hard.