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3 years ago

What is the distance between -45 and 65

Mathematics

1 answer:

tatyana61 [14]3 years ago

5 0

Answer:

110

Step-by-step explanation:

What is the Difference between -45 and +65? In other words, what is the Difference between negative 45 and positive 65?

To solve this math problem, start by picturing a horizontal number line that starts with negative infinity on the left and ends with positive infinity on the right:

∞ ..... -3, -2, -1, 0, +1, +2, +3, .... ∞

The Difference between -45 and +65 is the distance between -45 and +65 on our number line above. Thus, the Difference between two numbers will always be a positive number.

It is a two-step process to calculate the Difference between -45 and +65. Step 1 is to subtract +65 from -45, and Step 2 is to find the absolute value of the Step 1 answer. Here is the math to illustrate better:

(-45) - (+65) = -110

|-110| = 110

That's it! The Difference between -45 and +65 is as follows:

110

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$x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}$

where $x_{1,2}$ is a compact way to indicate both solutions $x_1$ and $x_2$ , while $a,b,c$ are the coefficients of the quadratic equation, i.e. we consider the polynomial $ax^2+bx+c$ .

So, in your case, we have $a=1,\ \ b=11,\ \ c=-4$

Plug those values into the formula to get

$x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}$

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3 years ago