The method you used to help Kevin in parts F and G is called cross multiplication. It’s called cross multiplication because it involves multiplying the denominator of each fraction with the numerator on the opposite side of the equal sign. Now solve the equation 24(9) = 2x.

x = 108

Step-by-step explanation:

Start by finding what 2x equals

24 x 9 = 216

multiply 24 by 9 and you get 216

216 = 2x

now isolate for x by dividing both sides by 2, leaving x by itself on one side of the equation

216 / 2 = x

x = 108

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0