Solve linear and quadratic equations
Methods and formulas for equation solving
An equation states that two expressions are equal. Solving means finding the value(s) of the unknown variable that make the equation true. Linear equations (ax + b = 0): Isolate x by performing inverse operations. 3x + 6 = 0 → 3x = -6 → x = -2. These have exactly one solution. Quadratic equations (ax² + bx + c = 0): Use the quadratic formula: x = (-b ± √(b²-4ac)) / 2a. The discriminant (b²-4ac) determines the number of solutions: positive = 2 real roots, zero = 1 real root, negative = no real roots (complex). Factoring: When possible, factor the quadratic. x² - 5x + 6 = 0 factors to (x-2)(x-3) = 0, giving x = 2 or x = 3. Factoring is faster than the formula when it works cleanly. Verification: Always substitute your answer back into the original equation to verify it's correct.
About equation solving
Use formula x = (-b ± √∆) / 2a where ∆ = b² - 4ac
Other useful tools related to mathematical calculations
ax + b = 0
ax² + bx + c = 0
How to Use? Enter equation coefficients and click solve. Uses ax+b=0 for linear, ax²+bx+c=0 for quadratic.
Solves equations in form ax + b = 0
Solves equations in form ax² + bx + c = 0
Uses ∆ = b² - 4ac to determine number of roots
Shows all real solutions
About equation solving
Use formula x = (-b ± √∆) / 2a where ∆ = b² - 4ac