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kvasek [131]
2 years ago
7

14. x2 – 100 = 0 Solve question by factoring

Mathematics
1 answer:
Lena [83]2 years ago
8 0

Answer:

x=50

Step-by-step explanation:

1, add 100 to both sides

x-2-100+100=0+100

2. simplify x-2=100

3.x-2/2=100/2 divide both sides

4. x=50

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First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7. <br> f′(x)= <br> f(x)=
Vadim26 [7]
I haven't learned antiderivitives yet but I can try to logic it

<span>First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7.

we reverse chain rule

3x^3, we know that it was a 4th degree thing, and the coefient is 3, so
4*what=3?, answer is 3/4
3/4x^4

6x^2
we know it was x^3, and the coefient is now 6 so
3*what=6? what=2
2x^3

-1x, the power was 2 and coefient is now -1, so
2 times what=-1?, -1/2
-1/2x^2

2, that is from 2x

so
</span>
<span>3/4x^4+2x^3-1/2x^2+2x=f'(x)
test x=1
(3/4)(1)+2(1)-(1/2)(1)+2(1)=
3/4+2-2/4+2=
4 and 1/4 we need to get it to 9
4 and 1/4 +what=9
answer is 4 and 3/4
so we add that to the end since it will become 0 from derivitive

</span>
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+4 and 3/4

now reverse drivitive again

3/4x^4
exponent is 5 and coefient is 3/4
5 times what=3/4? answer is 3/20
3/20x^5

2x^3
exponent should be 4 and coefient is 2
4 times what=2? answer is 1/2
1/2x^4

-1/2x^2
exponent should be 3 and coefient is -1/2
3 times what=-1/2? answer is -1/6
-1/6x^3

2x
exponent should be 2 and coefient is 2
2 times what=2? answer is 1
1x^2

4 and 3/4 turns to (4 and 3/4)x



</span>
<span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x
try evaluating it for x=1
f(1)=(3/20)+(10/20)-(10/50)+1+(19/4)
f(1)=6 and 7/30
what do we add to get -7
-13 and 7/30
</span>
<span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x-13 and 7/30

</span>


</span>ANSWER
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+19/4
</span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+19/4x-187/30</span>
4 0
2 years ago
Find the value of x
Lostsunrise [7]

Step-by-step explanation:

In a right angle triangle one angle is 90°

w.k.t sum of angles in a triangle is 180°

thus, 2x+15+x+90°=180°

3x+105°=180°

3x=75°

x= 75/3=25°

Hope this helps you.

7 0
3 years ago
The sum of three consecutive numbers is 99. What is the smallest number??
erica [24]

Answer:

32

Step-by-step explanation:

The three consecutive numbers are: 32, 33, 34

They add up to 99

3 0
2 years ago
Read 2 more answers
What is 7 1/2 - 4 1/4
GarryVolchara [31]
The answer is 3.25 or 3 1/4
6 0
2 years ago
Read 2 more answers
PLEASE HELP
KIM [24]
A20-a18=a1+19d-a1-17d=2d =281-97 so d=92
3 0
3 years ago
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