Don't be Fooled 4

Algebra Level 2

Find the number of real solutions of the equation x 2 + x + 2 = 0 x^2+\sqrt{x+2}=0


The answer is 0.

Hjalmar Orellana Soto by Hjalmar Orellana Soto , 24, Chile

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1 solution

x 2 + x + 2 = 0 ⇒ x + 2 = − x 2 x^2+\sqrt{x+2}=0 \Rightarrow \sqrt{x+2}=-x^2 For any non-zero real number − x 2 < 0 -x^2<0 so, as 0 0 is not solution to the equation, there are no real solutions.

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