Question

Factorise x^^2 + 3 root 3x - 30

Answer 1

Step-by-step explanation:

x^2-5ฯ3x+2ฯ3x-30=0

(x-5ฯ3)(x+2ฯ3)

Answer 2

Answer:(x-2√3)(x+5√3)

Step-by-step explanation:x^2+3√3-30

Make sure that the coefficient of x^2=1.

Then, take the LCM of 30, and try to construct the factors whose addition/subtraction results in +3√3.

I found them to be- 5√3, and 2√3.

Their product is 30, and subtraction, respectively, is 3√3.

Thus,

x^2+5√3x-2√3x-30 (I've splitted the middle term).

Further,

=x(x+5√3)-2√3(x+5√3)

=(x+5√3)(x-2√3)