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alex41 [277]
3 years ago
14

Solve for x: 6x-a=c will give 100 pts and brainliest

Mathematics
1 answer:
never [62]3 years ago
6 0

6x - a = c

6x = c + a

x =  \frac{c + a}{6}

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Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2
valentina_108 [34]

Answer:

Solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

Step-by-step explanation:

We need to solve the equation x^2+6x-8=0 by completing the square method.

For completing the square method: we need to follow: a^2+2ab+b^2=(a+b)^2

We are given:

x^2+6x-8=0

Solving by completing the square

x^2+2(x)(?)+(?)^2-8=0

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17

So, solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

7 0
3 years ago
The sum of two consecutive integers is 31. find the larger number
Verdich [7]

Consider the intergers as, x and x+1

x+(x+1)=31

2x+1=31

2x=30

x=15

So, (x+1)=(15+1)=16 would be larger number.


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