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...

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

$\frac{2 +/-\sqrt{4+24}}{4}$

$\frac{2+/-\sqrt{28} }{4}$

$\frac{2+/-2\sqrt{7} }{4}$

$\frac{1+/-\sqrt{7} }{2}$

Keep in mind that +/- is ±

$\frac{1+\sqrt{7} }{2}$

$\frac{1-\sqrt{7} }{2}$

^^^Exact answers

Approximations:

1.823

-0.823

Hope this helped!

~Just a girl in love with Shawn Mendes