How will you describe the roots of the quadratic equation x² + 3 = 5 when solved using quadratic formula? help pleasee

A. Equal

B. Irrational

C. Rational

D. Non - real

The answer is B. Sqrt= Radical symbol
1. Subtract 5 from both sides. x^2+3-5=5-5
2. New equation. x^2-2=0
3. To make it easier I am going to add 2 to the other side and take the square root of 2. x^2-2+2=0+2, x^2=2, sqrt(x^2)= sqrt(2).
4. You will get plus or minus radical 2 because when you take the square root you will always have a positive root and a negative root of any quadratic equation. x= plus and minus sqrt(2).
5. So the answer is that it’s irrational because plus and minus radical 2 is not an integer, and secondly it isn’t a perfect root which means that plus and minus radical 2 is an irrational set roots for this quadratic equation.

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