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3 years ago

What type of solutions does this equation have?

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

8 0

Answer:

one real solution

Step-by-step explanation:

square root of 0 is 0

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Y=x+ - 4x3 Find the two stationary points on the graph of y=x4 - 4x3

mafiozo [28]

Answer: $(0,0), (3,-27)$

Step-by-step explanation:

Given

Curve is $y=x^4-4x^3$

The stationary point on a differentiable function is the points where the differentiation of the function is zero i.e. slope is zero at that point.

Differentiate the curve $f(x)=x^4-4x^3$

$\Rightarrow f'(x)=4x^3-12x^2$

Equate it to zero

$\Rightarrow 4x^3-12x^2=0\\\Rightarrow 4x^2(x-3)=0\\\Rightarrow x=0,0,3$

Put $x=0,3$ in the function $f(x)=x^4-4x^3$

$\Rightarrow f(0)=0\\\Rightarrow f(3)=3^4-4(3)^3\\\Rightarrow f(3)=81-108\\\Rightarrow f(3)=-27$

Therefore, the stationary points are $(0,0), (3,-27)$

5 0

3 years ago

What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundr

Nuetrik [128]

32+54=86-10=76-25= 51

4 0

3 years ago

2x-y=3 -x-y=3 what does this equal system of equations

Jet001 [13]

Topic : Linear equations in two variables.

Given :

2x - y = 3 ––– (i)
- x - y = 3 ––– (ii)

Solution :

Now,

(i) – (ii)

$\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}$

$\qquad \sf \: { \dashrightarrow 3x = 0}$

$\qquad \bf \: { \dashrightarrow x = 0}$

Now, substituting the value of x in Eq (i) :

$\qquad \sf \: { \dashrightarrow 2x - y = 3 }$

$\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }$

$\qquad \sf \: { \dashrightarrow 0- y = 3 }$

$\qquad \bf \: { \dashrightarrow y = - 3 }$

Therefore,

The value of x = 0 and y = -3

3 0

2 years ago

How do I find a variable for a similar figure

gizmo_the_mogwai [7]

Answer:

Sorry if this doesnt make help:

Step-by-step explanation:

When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the shapes are similar, compare their corresponding sides.

3 0

3 years ago

If z varies directly as x and z=30 when x=8 find z when x=4

dangina [55]

Z=kx, 30=8k, so k=30/8=15/4 and z=15x/4, so when x=4, z=15.

8 0

3 years ago