Hello I'm stuck on this question here it is x² + 3x - 6.75 = 0 So what does x equal to ?

If your equation is,

x + 3x - 6.75 = 0
4x = 6.75
x = 1.6875

You should ALWAYS proofread your problem after posting to make sure it makes sense.

I have no idea what the ? means.

To determine the value of x in the equation x² + 3x - 6.75 = 0, you can use the quadratic formula. The quadratic formula is expressed as:

x = (-b ± √(b²-4ac))/(2a)

In this case, the equation has the form ax² + bx + c = 0, where a = 1, b = 3, and c = -6.75.

By substituting the values into the quadratic formula, you get:

x = (-(3) ± √((3)² - 4(1)(-6.75))) / (2(1))

Simplifying further:

x = (-3 ± √(9 + 27)) / 2

x = (-3 ± √36) / 2

Now, let's consider both solutions:

x₁ = (-3 + √36) / 2

x₂ = (-3 - √36) / 2

Calculating the square root:

x₁ = (-3 + 6) / 2 = 3/2 = 1.5

x₂ = (-3 - 6) / 2 = -9/2 = -4.5

Therefore, x can have two values: x = 1.5 or x = -4.5.