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
Sonja [21]
3 years ago
14

Solve for equation √-5p=√24-p

Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer:


Step-by-step explanation:

Algebra Calculator | Latest | Discuss | About | Help | Translation

25,219,829 solved | 850 online

p2-5p-24=0  

Two solutions were found :

    p = 8

    p = -3  

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  p2-5p-24  

The first term is,  p2  its coefficient is  1 .

The middle term is,  -5p  its coefficient is  -5 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

      -24     +     1     =     -23  

      -12     +     2     =     -10  

      -8     +     3     =     -5     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    p2 - 8p + 3p - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-8)

             Add up the last 2 terms, pulling out common factors :

                   3 • (p-8)

Step-5 : Add up the four terms of step 4 :

                   (p+3)  •  (p-8)

            Which is the desired factorization

Equation at the end of step  1  :

 (p + 3) • (p - 8)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    p+3 = 0  

Subtract  3  from both sides of the equation :  

                     p = -3

Solving a Single Variable Equation :

2.3      Solve  :    p-8 = 0  

Add  8  to both sides of the equation :  

                     p = 8

You might be interested in
Cesar bought 20 boxes pizza. He gave 14 boxes of pizza to his classmates. Write the percentage of pizza left.​
LenaWriter [7]

Answer:

30%

Step-by-step explanation:

total boxes of pizza = 20

he gave away 14 boxes

so pizza left is 20 - 14 = 6 boxes

to calculate percentage = 6 / 20 * 100

= 6 * 5

= 30%

5 0
3 years ago
circle a has a radius of 7 and arcs rc cs and sm are congruent to the nearest hundereth what is the length of arc rc
oksian1 [2.3K]
The complete question in the attached figure

we know that
[arcs rc +arc cs arc sm]---------------> they take up half a circle-------->180°
<span> they are all congruent
so
divide 180 by 3 ----------------> 180/3=60</span>°


Find the length of arc rc=60°<span>

if 360</span>°----------------> (2*pi*7) length of circumference 
60° -------------------> X
<span>X=60*2*pi*7/360------------> 7.327 units

the answer is
</span>the length of arc rc= <span>7.33 units

</span>

3 0
3 years ago
Which equation represents a line which is parallel to the line x+4y=-20x+4y=−20?
g100num [7]

Answer:

y=7x+3, y=7x−6

7 0
3 years ago
Can you solve this please ;)
AleksAgata [21]
C) X is greater than or equal to 0

(Domain is all the x-values the line goes through)

3 0
3 years ago
Read 2 more answers
-1/3x+2x=3 3/4 what does the variable represent?
svet-max [94.6K]
Start off by combining like terms on the LHS (the terms with x in them).

So we get \frac{-1}{3}x+2x= \frac{-1}{3}x+ \frac{6}{3}x= \frac{-5}{3}x

Replacing this result with what we had before on the LHS, we get \frac{-5}{3}x=3 \frac{3}{4}= \frac{9}{4}

⇒Solve for x (divide both sides \frac{-5}{3})
⇒Don't forget about reciprocity rules when dividing.  This is the same as multiplying both sides by \frac{3}{-5}

⇒x= \frac{9}{4}( \frac{3}{-5})&#10;
⇒x= -\frac{27}{20}=-1\frac{7}{20} ***This is a proper fraction
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements are true for verifying the solution set of
    9·2 answers
  • Answer asap and right plz
    12·1 answer
  • Plzz help I will give brainiest
    6·1 answer
  • What is 75% of 16 boxes
    9·1 answer
  • Nadia and some friends went to a movie. Their total cost was $30.24 which included fasted of 2.24 write an algebraic expreeeion
    10·1 answer
  • Geometry question please help, any help is appreciated!
    15·1 answer
  • A student wants to arrange four points to form a rectangle on a grid. She has already placed points at Syntax error. Where shoul
    13·1 answer
  • 1. Estimate the y intercept for the line of best fit for the data
    15·1 answer
  • Plssssss help<br><br><br><br><br>10-5?????
    5·2 answers
  • find the area under the standard normal distribution curve to the right of . use a ti-83 plus/ti-84 plus calculator and round th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!