Explain the steps necessary for solving the following equation. x^2-8x-20=0

Answers

Answer 1

Answer: First factor the equation
(x-10)(x+2) = 0
Then solve for (x-10) and (x+2)
x=10
x=-2

Answer 2

Answer: (warning: this is quite long :P)
the steps are:

Looking at the expression x² +8x-20,we can see that the first coefficient is 1, the second coefficient is 8 and the last term is -20.
Now multiply the first coefficient (1) by the last term (-20) to get (1)·(-20)=-20.
Now the question is: what two whole numbers multiply to -20 (the previous product).
factors of -20:
1,2,4,5,10,20
-1, -2, -4, -5, -10, -20
note: list the negative of each factor. This will allow us to find all possible combinations.
These factors pair up to multiply to -20.
1*(-20) = -20
2*(-10) = -20
4*(-5) = -20
(-1)*(20*) = -20
(-2)*(10* = -20
(-4)*(5) = -20
now let's add up each pair of factors to see if one pair adds to the middle coefficient:

first number second number sum

   1    -20 1+(-20)=-19
   2 -10 2+(-10)=-9
   4 -5 4+(-5)= -1
-1 20 -1 +20= 19
-2 10 -2+10=8
-4 5 -4+5=1

From the table above, we can see that the two numbers -2 and 10 multipy to -20 and add up to 8.
Now replace the middle term 8x with -2x+10x. Remember, -2 and 10 add up to 8. so this shows us that -2x+10x=8x.

x²+-2x+10x -20 Replace the second term 8x with -2x +10x.
(x²-2x)+(10x-20) Group the terms into two pairs.
x(x-2x)+(10x-20) Factor out the GCF x from the first group.

x(x-2)+10·(x-2) Factor out 10 from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.

(x+10)·(x-2) Combine like terms. Or factor out thge common term x-2.
-----
ANSWER:

So, x² + 8·x -20 factors to (x+20)·(x-2.
In other words, x² + 8·x-20=(x+10)·(x-2)

THIS IS HARD TO UNDERSTAND, BUT HOPE THIS HELPED YOU! AND HOPE YOU GET IT TOO!!!
:D

Hope it helps :)

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PLZ HELP ASAP WILL MARK BRAINIEST
(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3
solve for x!!

Answers

Answer:

x= 13

Step-by-step explanation:

Multiply: (0.6x4 )(0.2x6 )

Answers

0.6x^4*0.2x^6
0.6*x^4*0.2*x^6
(0.6*0.2)*(x^4*x^6)
0.12*x^10
Your answer is:
0.12x^10

What Is 17/4 [fraction] as a mixed or a whole number please answer

Answers

so lets see the biggest counting number that has a factor of four, yet is less than 17 so
16 is divisible by 4 and less than 17 so
16/4 +1/4=17/4
16/4=4 so
4 and 1/4
1/4=.25 so
4.25

So, (as apologiabiology's brother)

We find out how many whole 4's would fit in 17. We get 4 4's with a remainder of 1.

So, 17/4 = 4 1/4 (four and one-fourth)

P.S. 17/4 cannot be written as a whole number without fractions.

What type of angle is <CEB?

Answers

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

Help please asap! Struggling with math graph problem

Answers

We're told (5,-2) is on the line, that's x=5, y=-2

First one y-5 = -7, (x+2)/3=7/3, not equal

Second one y+5=3, (x-2)/3=1, not equal

Third one y+2=0, (x-5)/3=0, TRUE, equal

Fourth one, y-2=-4 (5+5)/3=10/3, not equal

Answer: third choice y+2 = (1/3)(x+5)

Paula bought a ski jacket on sale for 6 less than half its original price. She paid 88 for the jacket. what was the original price?

Answers

88+6=94 This is half the original price. 94 times 2= 188

Answer:

The original price was $188

Step-by-step explanation:

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