Question

Find the roots of the quadratic equations by the quadratic formula x^2-3√5x+10=0

Answer 1

Answer:

2√5 and √5 are the roots of the given quadratic equation

Answer 2

Answer:2√5 (OR) √5

Step-by-step explanation:

Quadratic Formula = -b ±√ (Determinant)

                                            2a          

EQUATION =x² - 3√5x +10 = 0

                   

 In the equation  

a = 1

b = -3√5

c = 10

Therefore ...

Determinant = b² - 4ac

                      → (-3√5)² - 4*1*10

                      → (9*5) - 40

                      →45 - 40

                      → 5

Substituting the determinant in the equation

→-(-3√5) ± √D

            2

→3√5 ±√5

       2

→3√5 + √5                                           3√5 - √5    

        2                          (OR)                        2

2√5      (OR)       √5

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