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madreJ [45]
3 years ago
11

Solve the equation by completing the square round to the nearest hundredth if necessary x^2 - 2x = 24

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0
To complete the square:
1) Move the "non-x" term to the right.
It's already there.

2) Divide the equation by the coefficient of x^2.
It's already done.  Coefficient of x^2 is 1.

3)  <span>• take the coefficient of X
this is -2

      • divide it by 2
-2 / 2 =-1

      • square that number
-1^2 = 1

      • then add it to both sides of the equation.
x^2 -2x = 24
x^2 -2x +1 = 25

</span>

<span>4) take the square root of both sides of the equation (remember that each square root has TWO solutions).
</span>

<span>Taking the square root of
x^2 -2x +1 = 25

equals
(x -1) = 5 AND
</span>
<span>(x -1) = -5

So, x = 6 and
x = -4

Source:
http://www.1728.org/quadr2.htm
(See first half of page).

</span>
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