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2 years ago

This is quadratic equations Help asap!!

Mathematics

1 answer:

lord [1]2 years ago

3 0

Answer:

x = - 3 ± $\sqrt{2}$

Step-by-step explanation:

x² + 6x + 7 = 0 ( subtract 7 from both sides )

x² + 6x = - 7

using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 7 + 9

(x + 3)² = 2 ( take square root of both sides )

x + 3 = ± $\sqrt{2}$ ( subtract 3 from both sides )

x = - 3 ± $\sqrt{2}$

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Find the midpoint of the line segment with the endpoints (1, 0) and (2, -10).

Mariulka [41]

Answer:

$\bigl(\frac{3}{2},-5\bigr)$

or in decimal form

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Step-by-step explanation:

The midpoint of the line with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)$ . just take the average between the points

so given the points (1,0) and (2,-10)

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$y_1=0$

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the midpoint is found as follows:

$\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)$

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$\bigl(\frac{3}{2},-5\bigr)$

or in decimal form

$(1.5,-5)$

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3 years ago

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borishaifa [10]

Answer:

x = e^2/2 + 3

Step-by-step explanation:

Solve for x:

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Hint: | Eliminate the logarithm from the left hand side.

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2 x - 6 = e^2

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x = e^2 + 6

Hint: | Solve for x.

Divide both sides by 2:

Answer: x = e^2/2 + 3

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