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RSB [31]
3 years ago
5

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

Mathematics
1 answer:
garik1379 [7]3 years ago
8 0

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

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