All categories

3 years ago

Solve the value of x using undoing, rewriting, and looking inside strategies.

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

Answer:

x = 0, x = 4

Step-by-step explanation:

Given

(x - 2)² - 3 = 1 ( add 3 to both sides )

(x - 2)² = 4 ( take the square root of both sides )

x - 2 = ± $\sqrt{4}$ = ± 2 ( add 2 to both sides )

x = 2 ± 2

Thus

x = 2 - 2 = 0

x = 2 + 2 = 4

You might be interested in

Write the quadratic function f(x) = x2 - 5x + 3 in vertex form.

mixer [17]

So the vertex formula is A(X - H)^2 + K so find the vertex and plug all numbers in

this gives you (x - 2.5)^2 -3.25 = f(x)

4 0

3 years ago

Find the product of 0.3×0.23

alekssr [168]

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

3 0

4 years ago

Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation

Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

$\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\$

by differentiating the second equation we have

$\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}$

and we replace dx/dt in the first equation

$\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0$

and by using the characteristic polynomial

$m^{2}+4=0\\m=\±2i$

the solution is

$y(t)=Acos(2t)+Bsin(2t)$

and to compute x(t) we have

$\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)$

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

$x(0)=B=4\\y(0)=A=3$

I hope this is useful for you

regards

4 0

3 years ago

Read 2 more answers

1 2/9 x 1 4/5 please quick I have 5 minutes

Sergeeva-Olga [200]

Answer:

2 &1/5

Step-by-step explanation:

there u go good luck with whatever ua re doing

6 0

3 years ago

Read 2 more answers

Solve for each variable X and Y.

kaheart [24]

Answer:

x=5 and y=7

Step-by-step explanation:

The opposite parallel sides of any rhombus are going to be equal.

a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.

b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.

a.) x+14 = 5x-2

b.) 3y-3 = 2y+4

4 0

3 years ago