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3 years ago

12

Find the discrimanant and the number of real roots for this equation x^2+2x+8=0

1 answer:

balu736 [363]3 years ago

4 0

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+8}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one root}\\ positive&\textit{two roots}\\ negative&\textit{no real roots}~~\textit{\Large \checkmark} \end{cases} \\\\\\ (2)^2-4(1)(8)\implies 4-32\implies -28$

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2 years ago

Which expression is equivalent to the following complex fraction? StartFraction 1 Over x EndFraction minus StartFraction 1 Over

Darina [25.2K]

Answer:

$\frac{y-x}{x+y}$

Step-by-step explanation:

We are given that fraction

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Substitute the values then, we get

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6 0

3 years ago

Read 2 more answers

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Mariana [72]

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2 years ago

The coordinates of points A

Svetllana [295]

Answer:

Distance=13.60

Step-by-step explanation:

The Distance between the two points in coordinate system is find by using the distance formula.

If two points $(x_1,y_1)$ and $(x_2,y_2)$ are given:

$Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For the points:

$(-7, 5)\\ and \\(4, -3)$

$Distance=\sqrt{(4-(-7))^2+(-3-5)^2}\\\\ =\sqrt{(4+7)^2+(-8)^2} \\\\=\sqrt{11^2+(-8)^2} \\\\=\sqrt{121+64}\\\\ =\sqrt{185}\\\\ =13.60$

The distance between the points is 13.60

7 0

3 years ago