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3 years ago

How do you find the solutions of xsquared-2x=3?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

-1 and 3

Step-by-step explanation:

We need to solve "xsquared-2x=3"

The following version of xsquared-2x=3 has more appropriate format:

x² - 2x = 3

We need to put this into standard form for quadratic equations. To accomplish this, subtract 3 from both sides, obtaining:

x² - 2x - 3 = 0

This factors as follows: (x - 3)(x + 1) = 0.

The solutions are found by setting each factor = 0 separately and solving for x: 3 and -1.

You might be interested in

Which number has a cube root between 7 and 8

lubasha [3.4K]

Step-by-step explanation:

Here ,There are no options given to choose which number is a cube root between 7 & 8 . So below provided answer is way to choose which numbers have cube root between 7 & 8 .

Here , We have to find that Which number has a cube root between 7 and 8 . Let's find out :

We know that ,

$\sqrt[3]{343} = 7\\\sqrt[3]{512} = 8$

So , the number which have cube root between 7 & 8 will surely lie in between of 343 & 512 . Suppose the numbers which which have cube root between 7 & 8 are $x_1,x_2,x_3,....,x_n$ , So these numbers lie between 7 & 8 i.e.

⇒ $343$

Therefore, all the numbers which lies between 343 and 512 or $343$ , have a cube root between 7 & 8 .

3 0

3 years ago

Read 2 more answers

This is the last question from my hw

liberstina [14]

Answer:

m = 9, n = 2

Step-by-step explanation:

Find $f^{-1}$ (x) by letting y = f(x) and rearranging making x the subject, that is

y = mx + n ( subtract n from both sides )

y - n = mx ( divide both sides by m )

$\frac{y-n}{m}$ = x

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = $\frac{x-n}{m}$

Given $f^{-1}$ (x) = g(x) , then

$\frac{x-n}{m}$ = $\frac{x-2}{9}$

By comparison of the 2 sides

m = 9 and n = 2

4 0

3 years ago

3х – 8y = 34 7х + 4у = -34 Solve by elimination Y and x Please show steps ):

garri49 [273]

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

17x= -34 divided by 17

x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

-8y= 40 divide by -8

y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

-34 = -34

I hope this help sorry I'm not good explaining

4 0

3 years ago

(2^8 x 3^−5 x 6^0)−2 x 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 x 2^28

Veronika [31]

$(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}$

4 0

3 years ago

Read 2 more answers

This one is really confusing me

AleksandrR [38]

Answer:

D) 9

Step-by-step explanation:

8 + 9 + 10 + 7 =39

48 - 39 = 9

3 0

3 years ago

Read 2 more answers