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3.6. Quadratic equations

A polynomial in which the highest exponent is 2 is called a quadratic equation. Equate the quadratic expression to 0 and you get the standard form of the quadratic equation:

ax2 + bx + c = 0

In this equation, x represents a variable whereas a, b, and c are constants with a not equal to 0.

C4C: Quadratic equations

 

When you want to solve the quadratic equation you can select the [x^2+x] function from the Insert Function menu or simply write your equation in the form of ax^2 + bx + c = 0. Quadratic equations must have a x^2 member, while all other members of the equation are optional.

Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has two solutions. These solutions may be both real, or both complex.

Example Result Description
x^2+x-2=0 x1 = 1; x2 = -2 Two different real results
x^2+2x+1=0 x1 = x2 = -1 Only one result (double)
x^2 + 4x + 8 = 0 x1 = x2 = Complex number Non-real results

Examples

4E-3x^2+3E-2x-2E-2=0
4x^2-3x-2
x^2+x-2=0
x^2-4

 


Previuos: Insert trigonometric functions Contents Next: Scientific constants

 

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