Question

find the roots of the following equation question number 10​

Answer 1

Answer:

Roots of √3x² + 10x - 8√3 are 2/√3 and - 4√3

Step-by-step explanation:

The equation is √3x² + 10x - 8√3

When we put some value and the equation becomes equal to 0, then that value is the root of the equation

We will use factorization method to find its roots.

√3x² + 10x - 8√3

= √3x² + 12x - 2x - 8√3

= √3x(x + 4√3) - 2(x + 4√3)

= (√3x - 2) (x + 4√3)

(√3x - 2) (x + 4√3) are two factors of the above equation. Now, equate them to 0 individually to find the roots.

√3x - 2 = 0                                     x + 4√3 = 0

√3x = 2                                           x = - 4√3

x = 2/√3

∴ Roots of √3x² + 10x - 8√3 are 2/√3 and - 4√3