Question

What is the solution set of 2x(x - 1) = 3?

Answer 1

First you must distribute the 2x to the numbers inside the parentheses

(2x * x) + (2x * -1) = 3

`2x^(2)` - 2x = 3

To make this a quadratic equation you can solve bring the 3 over to the left side of the equation by subtracting it to both sides

`2x^(2)` - 2x - 3 = 0

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

`ax^(2) +bx +c = 0`

That means that in this equation...

a = 2

b = -2

c = -3

^^^Plug these numbers into the quadratic equation and solve...

`\frac{2+/-\sqrt{(-2)^(2)-4(2)(-3)}}{2(2)}`

`(2 +/-√(4+24))/(4)`

`(2+/-√(28) )/(4)`

`(2+/-2√(7) )/(4)`

`(1+/-√(7) )/(2)`

Keep in mind that +/- is ±

`(1+√(7) )/(2)`

`(1-√(7) )/(2)`

^^^Exact answers

Approximations:

1.823

-0.823

Hope this helped!

~Just a girl in love with Shawn Mendes