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slega [8]
3 years ago
8

Simplify:

Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0

Step-by-step explanation:

Simplify :

x4−6x3+2x−7+7x3−x+5x2+2−x4

x4−6x3+2x−7+7x3−x+5x2+2−x4

Rearranging and collecting the like terms, we get:

=(x4−x4)+(−6x3+7x3)+5x2+(2x−x)+(−7+2)

=(1−1)x4+(−6+7)x3+5x2+(2−1)x+(−7+2)

=(1)x3+5x2+(1)x−7+2

=x3+5x2+x−5

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Help please, I attached the question. Is it a!? <br> 
AVprozaik [17]

Answer:

A

Step-by-step explanation:

Recall that for a quadratic equation of the form:

0=ax^2+bx+c

The number of solutions it has can be determined using its discriminant:  

\Delta = b^2-4ac

Where:

  • If the discriminant is positive, we have two real solutions.
  • If the discriminant is negative, we have no real solutions.
  • And if the discriminant is zero, we have exactly one solution.

We have the equation:

2x^2+5x-k=0

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.

In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

b^2-4ac=0

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(5)^2-4(2)(-k)=0

Solve for <em>k</em>. Simplify:

25+8k=0

Solve:

\displaystyle k = -\frac{25}{8}

Thus, our answer is indeed A.

3 0
3 years ago
Read 2 more answers
Solve for x: -3 + x = -22
Tanya [424]

Answer:

x= -19

Step-by-step explanation:

-3 + x = -22

Add 3 to each side

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How do you solve -2(x + 3y) = 18
sergiy2304 [10]

solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Step-by-step explanation:

We need to solve the equation: -2(x + 3y) = 18

Solving the equation:

-2(x + 3y) = 18\\-2x-6y=18

Simplifying and finding value of x:

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We can simplify and find value of y as well:

-2x-6y=18\\-6y=18+2x\\-6y/-6=18/-6+2x/-6\\y=-3-1/3x

So, solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

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