You are building a work table from scrap wood. you have boards of lengths ab, cd, ef, gh, jk and lm to use for making the six legs. ab is 5 inches shorter than cd, and cd is for 4 inches linger than ef. ef and gh are the same length and so are ab and jk. finally, ab is 2 inches longer than lm. you need to cut the boards to make six legs of equal length.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

a

step-by-step explanation:

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step-by-step explanation: