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liberstina [14]
2 years ago
14

Johanna carves a square block of wood that has on one side an area of 872 square inches. to the nearest integer, what is the len

gth of the side?
Mathematics
1 answer:
BARSIC [14]2 years ago
8 0
Let n be one side of the square wood block. Then:
n²=872
n=√872=approx. 30" per side
☺☺☺☺
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X^2+6x-6=0 rewritten by completing the square
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Hello from MrBillDoesMath!

Answer:

(x+3)^2 -15 = 0



Discussion:

To complete the square add (and then subtract) the square of one-half the coefficient of x:


x^2 + 6x -6 = 0 =>

                 -- complete the square part --

x^2 + 6x +   (6/2)^2 - (6/2)^2                    - 6 = 0 =>

x^2 + 6x + 9 - 9 - 6 = 0 =>                                               as 6/2 = 3

(x + 3)^ 2      - 9  - 6 = 0 =>                                    

(x+3)^2 -15 = 0

We can solve this as follows:

(x+3)^2 = 15                                               take square root of both sides

(x+3) = +\- sqrt(15)

x = -3 +\- sqrt(15)


Thank you,

MrB

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24+1.5=25.5

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