Question

4
Solve quadratic equations using formula. x2 + x + 5 = 0​

Answer 1

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Solve quadratic equations using formula. x2 + x + 5 = 0

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$= > {x}^{2} + x + 5 = 0$

Here,we use quadratic formula to find out the solution:-

Here,a=1 ; b=1. & c=5

$= > x = \frac{ -b ± \sqrt{ {b }^{2} - 4ac } }{2a}$

$= > x = \frac{ -1 ± \sqrt{1 - 4 \times 5} }{2}$

$= > x = \frac{ -1 ± \sqrt{1 - 20} }{2}$

$= > x = \frac{ -1 ± \sqrt{19i} }{2}$

=> 'i' (iota) is used in place of negative sign.

Why we used iota $\mathcal{i}$?

=>We use iota whenever there is negative value inside root.We use iota in place of negative value.

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