All categories

3 years ago

4m^2-5m+2=0 determine the number of real solutions

Mathematics

1 answer:

padilas [110]3 years ago

5 0

Answer:

no real solutions

Step-by-step explanation:

solutions will consist of square roots of negative numbers

You might be interested in

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

3 years ago

Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)

VMariaS [17]

ANSWER

$(3x - 2)(x + 4)$

EXPLANATION

The given quadratic trinomial is

$3 {x}^{2} + 10x - 8$

Comparing to the general quadratic trinomial:

$a{x}^{2} + bx + c$

We have a=1, b=10 and c=-8

$ac = 3 \times - 8 = - 24$

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

$3 {x}^{2} + 12x - 2x- 8$

Factor;

$3x(x+ 4) - 2(x + 4)$

Factor further;

$(3x - 2)(x + 4)$

The last option is correct.

4 0

4 years ago

Express 405 1/3 in simplest radical form.

Maslowich

Answer:

3 cube root of 15

Step-by-step explanation:

theres your simple radical form

4 0

3 years ago

Use the Distributive Property to solve the equation.

Arada [10]

Answer:

x= - 9

Step-by-step explanation:

- 8(x +7) = 16
-8x - 56 = 16
-8x = 16 + 56
-8x = 72
x = 72 ÷ (-8)
x = -9

5 0

3 years ago

Help help help help due tmr

Helga [31]

Answer:

the answer to 5 is 1

the answer to 8 is 40

6 0

4 years ago

Read 2 more answers