1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OverLord2011 [107]
3 years ago
7

X= square root of 10x-24

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0
√10x-24 = x


Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2


STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}


STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
You might be interested in
There are 5 times as many chickens as horses on a farm. There are 10 horses
Inessa [10]

Answer:

50 chickens. there are 40 chickens more than horses.

Step-by-step explanation:

What you have to do is first multiply 10 x 5=50 then you subtract 10 from fifty with gives us 40 so there a re fifty chickens and 40 chickens more than horses.

3 0
3 years ago
Solve the equation 2x^2-3x-6=0 give your answer correct to two decimal places
IRISSAK [1]

Answer:

<h2>x = - 1.14 or x = 2.64</h2>

Step-by-step explanation:

2x² - 3x - 6 = 0

Using the quadratic formula

x =  \frac{ - b± \sqrt{ {b}^{2}  - 4ac} }{2a}

a = 2 , b = - 3 , c = 6

Substituting the values into the above formula

We have

x =  \frac{ -  - 3± \sqrt{ { - 3}^{2}  - 4(2)( - 6)} }{2(2)}

x =  \frac{3± \sqrt{9 +48 } }{4}

x =  \frac{3± \sqrt{57} }{4}

x =  \frac{3 -  \sqrt{57} }{4}  \:  \:  \:  \: or \:  \:  \:  \:  \: x =  \frac{3 +  \sqrt{57} }{4}

We have the final answer as

<h3>x = - 1.14 or x = 2.64</h3>

Hope this helps you

6 0
3 years ago
Jason has to finish the 40% of an art project that Has taken him a total of two hours so far if he continues to work at the same
Nitella [24]

Answer:

in total 5 hours

Using proportions part/whole, percent/100 you put the 40 in the percent spot and the 2 in the part spot cross multiply and divide so 2 x 100 divided by 40 and you get 5

6 0
3 years ago
What do we get when we break apart 46+26 using place value?
SCORPION-xisa [38]
Tenth blocks   ones blocks
                              
l l l l l l l           o o
6 0
3 years ago
Which statement is true out of the value of money that you save increases over time , the value of money remains constant over t
Nataly_w [17]
None is necessarily true.

Even though you have your money in an interest-bearing savings vehicle, its value (purchasing power) may actually decrease if the interest rate is not at least as great as the inflation rate.

In periods of inflation, the value of money decreases over time. In periods of deflation, the value of money increases over time. It tends to be difficult to regulate an economy so the value of money remains constant over time.

The present value of money is greater than the future value in inflationary times. The opposite is true in deflationary times.

_____
In the US in the middle of the last century, inflation rates were consistently 2-3% per year and savings interest rates were perhaps 4-6%. Money saved actually increased in value, and the present value of money was greater than the future value. These days, inflation is perhaps a little lower, but savings interest rates are a lot lower, so savings does not outpace inflation the way it did. The truth or falsity of all these statements depends on where and when you're talking about.
3 0
3 years ago
Other questions:
  • The area of a library table top is 27 1/8 Square feet the table is 3 1/2 feet wide what is the length of the table
    15·1 answer
  • What is the slope of (-2,-2) and (2,-3)
    9·2 answers
  • What is an equation of the line that passes through the point (-4,-3) and is perpendicular to the line 2x+3y=15
    7·1 answer
  • Algebra 2 questions
    11·2 answers
  • The carousel at a local theme park has a diameter of 32 feet. each ride last three minutes and the speed of the carousel is 4.3
    15·1 answer
  • The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an
    7·2 answers
  • Find the angle between the hands of a clock at 5:15
    8·2 answers
  • Find the measure of angle DEF
    14·2 answers
  • ABCD is a rhombus. Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS?
    13·1 answer
  • there are 9 acorns in each pile. there are 8 piles. how many acorns are there in all? write an equation that can be used to solv
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!