Question

Without solving determine the character of the solutions of the equation x^2+2x+5=0

Answer 1

Checking for discriminant :

D < 0

4 - 4 *5 < 0

Hence , the character of quadratic equation states that the solution will be imaginary

Answer 2

★ QUADRATIC RESOLUTION ★

Roots of the given equation will be imaginary because it's discriminant is less than 0 and hence it'll yield imaginary solutions

D < 0

b² - 4ac < 0

4² - 4 ( 5 ) < 0

16 - 20 < 0

-4 < 0

Hence it's character is stated above

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