Solve 3x^2+ 5 root 5 x - 10=0 by factorization method
3x2 - 5 root 5x - 10=0
3x2 - 3 root 5 x - 2 root 5 x - 10=0
3x(x-root 5) - 2 root 5(x-root 5)=0
(3x-2 root 5)(x-root 5)=0
Case 1
3x-2 root 5=0
x=2 root 5/3
Case 2
x-root 5=0
x=root 5
=> x=2 root 5/3, root 5
3x2 - 3 root 5 x - 2 root 5 x - 10=0
3x(x-root 5) - 2 root 5(x-root 5)=0
(3x-2 root 5)(x-root 5)=0
Case 1
3x-2 root 5=0
x=2 root 5/3
Case 2
x-root 5=0
x=root 5
=> x=2 root 5/3, root 5