How To Write Quadratic Equations In Standard Form

Before solving a quadratic equation using the quadratic formula it s vital that you be sure the equation is in this form.

How to write quadratic equations in standard form. Quadratic functions in standard form. Ax 2 bx c 0. Standard form of a quadratic function the standard form of a quadratic function is y ax2 bx c where a b and c are real numbers and a 0. F x a x h 2 k and the properties of their graphs such as vertex and x and y intercepts are explored interactively using an applet. Positive there are 2 real solutions.

From write expressions in quadratic form solver to expressions we have every part discussed. When the discriminant b 2 4ac is. If you don t you might use the wrong values for a b or c and then the formula will give incorrect solutions. Negative there are 2 complex solutions. The form ax2 bx c 0 is called standard form of a quadratic equation.

Therefore the standard form of a quadratic equation can be written as. Standard form of a quadratic equation the general form of the quadratic equation is ax bx c 0 which is always put equals to zero and here the value of x is always unknown which has to be determined by applying the quadratic formula while the value of a b c coefficients is always given in the question. An equation that can be written as ax bx c 0 where a b and c are real numbers. Where x is an unknown variable and a b c are constants with a 0 if a 0 then it becomes a linear equation. X b b 2 4ac 2a.

Ax 2 bx c 0. Quadratic equations can be factored. Quadratic equation in standard form.