Question

5x^2-2x=2
help plsmmm​

Answer 1

Presumably you're solving for x here? Without further information we'll assume that.

With that in mind, x is approximately equal to 0.86 and -0.46

Explanation:

Let's start by putting it in the usual ax² + bx + c format.

`5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\`

let's solve it. First we'll multiply both sides by five, making the first term a perfect square:

`25x^2 - 10x - 10 = 0\\`

Now we'll add 11 to both sides:

`25x^2 - 10x + 1 = 11\\`

Which makes the left side a perfect square:

`(5x - 1)^2 = 11`

And now we can solve for x:

`(5x - 1)^2 = 11\\\\5x - 1 = √(11) \\\\5x = 1 + √(11)\\\\x = (1 + √(11))/(5)`

Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.

That gives us two answers:

`x = (1 + √(11))/(5)\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86`
`x = (1 - √(11))/(5)\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46`