Olve the two-step equation and identify the steps.

2 = − 7
4
+ 1
4
x

x = 5.142

Step-by-step explanation:

2=-74+14x

if you want to make x the subject (work out its value), you need to single out x

1) the first thing that we can do is get rid of the -74

2) do this by adding it on to both sides of the equation. This is called the inverse

2+-74=-72   -74+14x=14x

-72=14x

3) to get x on its own, we now need to get rid of the 14

REMEMBER: 14x = 14×x

4) We do the inverse by dividing both sides by 14

-72÷14=-5.142...

its surprising that its not an integer

5.142=x

x=5.142

PLEASE LET ME KNOW IF THIS IS CORRECT

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