Find the roots of the following quadratic equations by the factorisation method.
`3x^(2)+5sqrt(5)x-10=0`

Options

A. `x=2sqrt(5)" or "x=(sqrt(5))/(3)`
B. `x=-2sqrt(5)" or "x=(sqrt(5))/(3)`
C. `x=-2sqrt(5)" or "x=(-sqrt(5))/(3)`
D. `x=2sqrt(5)" or "x=(-sqrt(5))/(3)`

Answer

B

Explanation

`3x^(2)+5sqrt(5)x-10=0`
`implies3x^(2)+6sqrt(5)x-sqrt(5)x-10=0`
`implies" "3x(x+2sqrt(5))-sqrt(5)(x+2sqrt(5))=0`
`implies(x+2sqrt(5))(3x-sqrt(5))=0impliesx=-2sqrt(5)" or "x=(sqrt(5))/(3).`