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3 years ago

For the equation 4(2x-4)=8x+k, what value of K will create an equation with infinitely many solutions? Please show steps

2 answers:

6 0

If you use the distributive property, you will multiply 4 by 2x to get 8x and 4 by -4 to get -16.

8x-16=8x+k

If you want infinitely many solutions the equations on both sides of the equal sign need to be the same. So, k would need to be -16.

alina1380 [7]3 years ago

3 0

Hello!

Getting infinitely many solutions from an equation would be getting a solution that is true but does not include the value of a variable. An example of getting an equation with infinite solutions would be 1=1, or 15.6=15.6.

Let's try to get the same thing on both sides of the equation.

8x-16=8x+k

If we want to get the other side to equal 8x-16, we will need to have k=-16.

8x-16=8x-16

Therefore, our value of k is -16.

I hope this helps!

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4 years ago

Pls help me ASAP!WILL MARK BRAINLIEST

Vadim26 [7]

Answer:

m = - 2.27 or m = 16.27

Step-by-step explanation:

Given

m² - 14m - 37 = 0 ( add 37 to both sides )

m² - 14m = 37

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(- 7)m + 49 = 37 + 49, that is

(m - 7)² = 86 ( take the square root of both sides )

m - 7 = ± $\sqrt{86}$ ( add 7 to both sides )

m = 7 ± $\sqrt{86}$ , that is

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