Solve for x: x^2-2x=15

Mathematics

1 answer:

Lyrx [107]2 years ago

5 0

Answer:

Step-by-step explanation:

x^2 - 2x = 15

x^2 - 2x - 15 = 15 - 15 (Subtract 15 from both sides.)

x^2 - 2x -15 = 0 (Simplify.)

Set up & solve for a quadratic formula

<h3>* I will solve for your first x</h3>

2 + root 64 / 2x 1 = 2 + root 64 / 2

root 64 = 8

= 2 + 8 / 2

= 10 / 2

= 5

To solve for the second, follow the same pattern/formula for the first that I used to get 5.

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Yuri [45]

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What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box

RideAnS [48]

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

$\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})}$ from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as $\frac{-2-10}{-1-3} =\frac{-12}{-4} =3$