What is a Quadratic Equation?

[Robertrichardr]

Quadratic formulas are the polynomial formulas of degree 2 in one variable of kind f( x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a is called the leading coefficient, and 'c' is called the absolute term of f (x). The worths of x satisfying the quadratic equation are the origins of the quadratic formula (α, β).

The quadratic formula will always have two origins. The nature of sources may be either natural or fictional.
When it corresponds to no, a quadratic polynomial comes to be a quadratic equation. The values of x pleasing the formula are called the origins of the quadratic equation.

[MichaelFinn]

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[zagdionis]

Quadratic formulas are the polynomial formulas of degree 2 in one variable of kind f( x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a is called the leading coefficient, and 'c' is called the absolute term of f (x). The worths of x satisfying the quadratic equation are the origins of the quadratic formula (α, β).
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The quadratic formula will always have two origins. The nature of sources may be either natural or fictional.
When it corresponds to no, a quadratic polynomial comes to be a quadratic equation. The values of x pleasing the formula are called the origins of the quadratic equation.

Oi! Ótima pergunta! Para saber se as raízes de uma equação quadrática são reais ou imaginárias, você pode usar o discriminante, que é a parte da fórmula dentro da raiz quadrada: Δ = b² - 4ac. Se Δ for maior que 0, você terá duas raízes reais e distintas. Se Δ for igual a 0, as duas raízes serão reais e iguais (ou seja, uma raiz dupla). Agora, se Δ for menor que 0, você terá duas raízes complexas (ou imaginárias), que são conjugadas entre si. Isso significa que a equação não terá soluções reais, mas ainda assim tem soluções, só que no conjunto dos números complexos!