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jekas [21]
3 years ago
14

Solve by completing the square.

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

x^2 -8x -5 = -3

x^2 -8x -2 = 0

We complete the square by:

1) Moving the "non X" term to the right:

x^2 -8x  = 2

2) Dividing the equation by the coefficient of X²

The coefficient of x is 1 so we don't do anything

3) Now here's the "completing the square" stage in which we:

      • take the coefficient of X

that is -8

     • divide it by 2

-8 ÷ 2 = -4

     • square that number

-4*-4 = 16

     • then add it to both sides of the  equation.

x^2 -8x +16 = 2 +16

That becomes

(x -4)^2 = 18

we take the square root of both sides:

(x -4) = sqr root (18)

x1 = sqr root (18) +4

AND

(x+4) = sqr root (18) -4

x1 =  sqr root (18) +4 = 4.2426406871  + 4 = 8.2426406871

x2 = sqr root (18) -4 =  = 4.2426406871  - 4 = .2426406871

       

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
What multiplies to be 1/4 but adds to be 1
kati45 [8]
Let x be that number.
Let's create a system using what we have:
x^2 = 1/4 (1)
x+x = 1 (2)

In the equation (1):
x^2 = 1/4
So x = √1/4 = 1/2 OR x = -√1/4 = -1/2
Since the answer in the second equation is positive, so the acceptable answer is x = 1/2.
So the number that multiplies to be 1/4 but adds to be 1 is 1/2.

You can re-check your answer (very important):
x^2 = (1/2)^2 = 1/4
x+x = 1/2 + 1/2 = 1
The answer has been approved.

Hope this Helps! :)
6 0
3 years ago
Easy math problems!!!!!!!!
VashaNatasha [74]

Answer:

x = 56 degrees

Step-by-step explanation:

Why? they are interior opposites. Even if you would try to measure it with a protractor on your screen, it will sure to be ending up with the same angle! I hope this helps, mate. Good luck!

7 0
3 years ago
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