Consider the equation 3/ x = 4/x-2 and solve for x

x = -6

Step-by-step explanation:

3/ x = 4/(x-2)

Using cross products

3 (x-2) = 4x

Distribute

3x - 6 = 4x

Subtract 3x from each side

3x-3x-6 = 4x-3x

-6 =x

Option C

Step-by-step explanation:

Given a quadratic equation

x^2+10x+24 =0

We can use either formula or factorization method to solve this equation.

The last term is 24, it is a product of 6 and 4. Sum =6+4 =10

Hence factoring can be done easier

Split the middle term as 6x +4x

x^2+6x+4x+24 =0

x(x+6)+4(x+6)=0

(x+4)(x+6)=0

Either x+4 =0 or x+6 =0

x=-6 or x =-4