Answer:
Quadratics do have some applications, but I think the main thing that's useful is the process and ideas of root finding. Solving equations for their zeros is an important part of engineering math, and has literally hundreds of applications.
It turns out that most equations can't be easily solved by hand, unlike quadratics, but we still care about the solutions quite a bit. To get around this, we can use computers to find roots in a less precise way, called numerical methods. Finding roots in quadratics was an important step on my way to understanding these more general and useful approaches.
Step-by-step explanation:
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Answer:
Vietta's Theorem
Step-by-step explanation:
Vietta's Theorem is a really useful theorem for quadratic equations.
Quadratic Equation: [tex]Ax^2+Bx+C=0[/tex]
Let [tex]x_1[/tex] and [tex]x_2[/tex] be the solutions of the equation. (Quadratic equations always have [tex]\geq[/tex] 2 solutions).
Vietta's Theorem states that:
[tex]x_1[/tex] + [tex]x_2[/tex] = - [tex]\frac{B}{A}[/tex]
[tex]x_1[/tex] * [tex]x_2[/tex] = [tex]\frac{C}{A}[/tex]
