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konstantin123 [22]
3 years ago
13

8x=4x^2-1 solve by completing the square

Mathematics
2 answers:
Klio2033 [76]3 years ago
7 0
Get the x terms by themselves on one side and a constant on the other side of the equal sign...

4x^2-8x=1  make the leading coefficient equal to one...

x^2-2x=1/4  now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so

x^2-2x+1=1+1/4

x^2-2x+1=5/4  now the left side is a perfect square...

(x-1)^2=5/4  take the square root of both sides...

x-1=±√(5/4)  add 1 to both sides

x=1±√(5/4)
bija089 [108]3 years ago
3 0
Isolate the 1: 4x^2-8x=1
Since "a" is a perfect square use the formula b^2/4a: (-8)^2/4(4)= 4
Add 4 into both sides of the equation:
4x^2-8x+4=1+4
Ur new equation should be:
4x^2 - 8x + 4 = 5
Factor: (2x-2)^2=5
Solve for x by getting the square root of 5 to get rid of the square on the (2x-2)^2 side and you would get:
2x-2 = +-2.2
solve for x: x= 2.1 x= -0.1
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−3(y+5)=15 someone please help me with this question my assignment is already late
AnnyKZ [126]

Answer: -10

Step-by-step explanation:

Simplifying

-3(y + 5) = 15

Reorder the terms:

-3(5 + y) = 15

(5 * -3 + y * -3) = 15

(-15 + -3y) = 15

Solving

-15 + -3y = 15

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -3y = 15 + 15

Combine like terms: -15 + 15 = 0

0 + -3y = 15 + 15

-3y = 15 + 15

Combine like terms: 15 + 15 = 30

-3y = 30

Divide each side by '-3'.

y = -10

Simplifying

3 0
3 years ago
a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 3
Vlad [161]

Answer:

35.00?

Step-by-step explanation:

7 0
3 years ago
How can i solve the equation 4(2x+7)
myrzilka [38]
Distribute so times what's outside by what's inside so 4×2x=8x and 4×7=28 then get x by itself by dividing on both sides 28÷8=3.5 your answer is x=3.5
3 0
3 years ago
Read 2 more answers
Which expressions are equivalent to 1 divided m/6? Check all that apply
jenyasd209 [6]

Answer:

option A, option C, option D

Step-by-step explanation:

a) 1 ÷ m/6

can be written as

\frac{1}{1}÷ \frac{m}{6}

b) sides in (m/6) will change if both has to multiply

c) 1 ÷ m/6

can be written as

1 * 6/m

1(\frac{6}{m}) and wont make change to answer. so matches with the question.

d)

1 ÷ m/6

1 * 6/m

1 * 6 * \frac{1}{m}

6 * \frac{1}{m}

6 ÷ m ..therefore true

e)

1 ÷ m/6

1 * 6/m

6/m    ....does not match or can be converted to the following so wrong

  • Therefore A, C, D are correct and B and E is wrong.
6 0
3 years ago
Please help!! ( you use substitution)
Dvinal [7]
All you have to do is substitute one linear equation into the other one.

So, essentially you will have 2 linear equations side by side each other.

8/5x - 1 = -4/3x - 1

-1 = -4/3x - 8/5x - 1

The solution eventually equals 0.






4 0
4 years ago
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