All categories

2 years ago

Solve: negative 1 over 2 x 3 = –x 7

1 answer:

4 0

The equation to solve seems to be 1 / (2x) + 3 = - x + 7. Which is solved using this steps: First multiply both sides times 2x (this implies that x cannot be zero). As result you get: -1 + 6x = -2x^2 + 14x. Second group terms in the left side: 2x^2 + 6x - 14x - 1 = 0 => 2x^2 - 8x - 1 = 0. Third, use the quatratic equation to solve and you get two answers: x= -0.121 and x = 4.121

You might be interested in

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

(5x)/6 + 11/4 = 17/3

pantera1 [17]

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for x by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

3 0

2 years ago

Twice a number, decreased by 4, is at least 12. A.8 B.7 C.6 D.5

podryga [215]

Not sure if im right but pretty sure it’s 8 because 8*2 is 16-4=12

3 0

2 years ago

For what values (cases) of the variables the expression does not exist: a a 2x−4

Natasha2012 [34]

Step-by-step explanation:

When the denominator is zero, the expression is undefined

2x-4=0

2x=4

x=2

5 0

2 years ago

The equation 10x + 5y = 150

Verdich [7]

Answer:

x = 14.5 y = 1

Step-by-step explanation:

get the x alone by subtracting 5y from both sides

10x + 5y = 150

- 5y -5y

10x = -5y + 150

divide both sides by 10

10x = -5y + 150

10 10

x = -0.5y + 15

Now that we've solved for x, we can plug it into the original equation

10 (-0.5y + 15) + 5y = 150

now we solve for y the same way we did x

first distribute 10 into (-0.5y + 15)

-5 + 150 +5y = 150

now we get the y alone

-5 + 150 + 5y = 150

+5 -150 -150 +5

5y = 5

now divide by 5

5y = 5

5 5

y = 1

now that we have both x and y, we plug y into our solution for x

x = -0.5y + 15

x = -0.5(1) + 15

x= -0.5 + 15

x = 14.5

4 0

2 years ago