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erma4kov [3.2K]
3 years ago
5

2. Encuentra o solocion de la cocasion X²-x-30=0​

Mathematics
1 answer:
navik [9.2K]3 years ago
6 0

Answer:

Step-by-step explanation:

Por aspa simple:

x²+x-30=0

X       +6

X        -5

(x+6)(x-5)=0

x+6=0

x=-6

x-5=0

x=5

espero te sirva suerte en tus estudios :D

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Answer:

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

Step-by-step explanation:

Quadratic Equation Given:

x^2+2x-16=0

x^2 + 2x=16

$c=\left( \frac{b}{2} \right)^2 $

x^2 + 2x+1=16+1

(x+1)^2=17\\

x+1=\pm \sqrt{17} \\

x=-1 \pm \sqrt{17} \\

x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}

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3 years ago
Find the equation of the axis of symmetry of the following parabola algebraically.
mr Goodwill [35]

Answer:

the equation of the axis of symmetry is x=8

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: x=constant, being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of  the vertex of a parabola of the general form: y=ax^2+bx+c, is given by:

x_{vertex}=\frac{-b}{2\,a}

which in our case becomes:

x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8

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klasskru [66]
Hello!

This expression can be broken down into 3 separate parts:

1. "the quotient of a number and (-7)"
2. "decreased by 2"
3. "is 10"

We'll begin with the first part. The word "quotient" implies the result of a division problem. Therefore, this part can be represented by the following expression (let "x" represent the unknown number):

\frac{x}{(-7)}

Now we'll move on to the second part. If something is decreased by a value of 2, we know that 2 is being subtracted. Therefore, this part can be represented by the following expression:

– 2

Now we'll move on to the third and final part. The phrase "is 10" implies that the operations preceding this part are equal to 10. Therefore, this part can be represented by the following expression:

= 10

Finally, put the three parts together to create the following equation:

\frac{x}{(-7)} – 2 = 10

The equation has now been fully translated. If, however, you are required to find the unknown value (x), begin by adding 2 to both sides of the equation:

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Now multiply both sides by (-7):

x = (-84)

We have now proven that the unknown number is equal to (-84).

I hope this helps!
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