Question
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Answer
The solutions are
and
.
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The Deep Dive
To solve the quadratic equation
, you can use the quadratic formula,
. Here,
,
, and
. Plugging in these values gives
. Thus, the solutions are
and
.
Did you know that this formula originated from ancient India around 600 AD? Indian mathematicians like Brahmagupta devised methods for solving quadratic equations long before the quadratic formula was widely known in Europe. It’s a testament to the diverse history of mathematics!
For practical applications, quadratic equations pop up everywhere—from physics, where they help describe projectile motion, to finance, where they can model profit maximization. Whenever you’re maximizing or optimizing something, remember that a quadratic equation might be silently helping you find the best solution!