Convert a quadratic into vertex form and inspect the solutions step by step.
Enter numeric coefficients. The coefficient a must not be zero.
Vertex form
1(x - -3)² + -4
Vertex
(-3, -4)
Discriminant
16
x₁ = -1
x₂ = -5
Completing the square rewrites a quadratic as a squared binomial plus a constant. That gives you the vertex form directly and is also a route to the quadratic formula.
x² + 6x + 5 = 0
(x + 3)² - 4 = 0
Solutions: x = -1 and x = -5
The calculator divides by a internally before completing the square.
You get complex roots, which the calculator shows in a + bi form.
It gives the turning point of the parabola and the axis of symmetry.
Yes. Decimal coefficients are accepted.
Related Tools
Solve absolute value equations.
Solve absolute value inequalities.
Apply associative property.
Multiply using box method.
Find complex roots.
Solve using Cramer's Rule.