Find the sum and the product of the roots of the equation:

Question

3x^2−10=0

3x²−10=0

Answer 1

Add 10 to both sides of the equation.

 

3x² = 10

 

x² = 10 / 3

 

 

Square-root both sides of the equation.

 

x = ±√(10 / 3)

 

x₁ = -√(10 / 3)           and              x₂ = √(10 / 3)

 

Sum of roots is (x₁ + x₂) = 0

Product of roots is (x₁x₂) = -10/3