All categories

3 years ago

A certain number added to its square is 30. Find the number

Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

X+x²=30
x²+x-30=0
(x+6)(x-5)=0
x=-6 or x=5

You might be interested in

If I owe you $1.76 in overtime pay, you receive $19.50 for each hour of OT. How many hours overtime are you owed?

Lady_Fox [76]

Answer: 0.09 hours

Step-by-step explanation:

You are owed $1.76 in overtime pay.

The hourly rate for overtime is $19.50 per hour.

To find the number of hours owed, you need to divide the amount owed by the amount owed per hour.

The number of hours you are owed is therefore:

= Amount owed / Amount owed per hour

= 1.76 / 19.50

= 0.09 hours

6 0

3 years ago

Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth

HACTEHA [7]

Answer:

x = -1.59

Step-by-step explanation:

We are here given a equation and we need to solve out for x. The given equation is ,

$\sf\longrightarrow 4^{( x +3)}= 7$

Take log to the base " e " on both sides , so that we can remove the variable from the exponent .

$\sf\longrightarrow log_e 4^{x+3}= log_e 7$

Simplify using the property of log , $\sf log a^m = m log a$ , we have ,

$\sf\longrightarrow (x + 3) ln 4 = ln 7$

Distribute by opening the brackets ,

$\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7$

This can be written as ,

$\sf\longrightarrow x ln 4 = ln 7 - 3ln4$

Divide both sides by ln 4 ,

$\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4}$

Simplify ,

$\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3$

On simplifying , we will get ,

$\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}$

5 0

3 years ago

Cross Section

inysia [295]

Tfuufjcjcjvuuchvufeettsssisitssxtxxttxtx

3 0

3 years ago

Edgar jarred 12 liters of jam after 2 days. How many days does Edgar need to spend making

S_A_V [24]

Answer:

3 days

Step-by-step explanation:

12 / 2 is 6 which is the unit rate

you do 18 / 6 to find how many days he needs to make it which will be 3 since in one day he can make 6 liters of jam

4 0

3 years ago

What is this expression in simplest form 1/2x^2-4x-2/x

Papessa [141]

Answer:

Step-by-step explanation:

Combine 12and x2.x22−4x−2x

4 0

3 years ago