Solve ^@ x^2 + 5 = 0 ^@


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Answer:

^@ \pm \sqrt{ 5 } i ^@

Step by Step Explanation:
  1. Given: ^@ x^2 + 5 = 0 ^@
    ^@ \begin{align} & \implies x^2 = - 5 \\ & \implies x = \pm \sqrt{ - 5 } \\ & \implies x = \pm \sqrt{ 5 } i & [ \text{ Since } \sqrt{ -1 } = i ] \end{align}^@
  2. Hence, the roots of the quadratic equation are ^@ \pm \sqrt{ 5 } i. ^@

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