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Travka [436]
3 years ago
13

How would figure out if a equation has one answer,zero answers,or infinite. Like a equation like 3(x+9)=3x+27

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0
This has infinite solutions because when you multiply 3 by the values in the parentheses they will equal.
3(x+9)=3x+27
3x+27=3x+27
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kvasek [131]
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5 0
3 years ago
Which are the solutions of the quadratic equation x2 =-5-3
alexdok [17]

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 8  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-8 = 0  

Add  8  to both sides of the equation :  

                     x2 = 8  

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 8  

Can  √ 8 be simplified ?

Yes!   The prime factorization of  8   is

  2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 8   =  √ 2•2•2   =

               ±  2 • √ 2  

The equation has two real solutions  

These solutions are  x = 2 • ± √2 = ± 2.8284  

 

Two solutions were found :

                  x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

5 0
3 years ago
Can someone explain to me how to solve this equation<br>15x +-6 = 8​
soldier1979 [14.2K]

Answer:

x=0.933333

Step-by-step explanation:

First you add 6 to both sides of the equation

15x - 6 + 6 = 8 +6

That gives you 15x = 14

Then you divide 15 on both sides of the equation

That gives you x = 14/15 = 0.93333

8 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu.
Stolb23 [73]

Answer:

a cross section is the intersection of a solid and a plane.

Step-by-step explanation:

5 0
3 years ago
What is the measure of b if a=20 and c=29. using the pythagorean theorem ​
kicyunya [14]

Since a^2+b^2=c^2 becomes 20^2+b^2=29^2, we solve for b:

400+b^2=841

b^2=441

b=21

So the length of b is 21 units.

Hope this helped!

5 0
3 years ago
Read 2 more answers
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