Choose a number between 67 and 113 that is a multiple of 4, 6, and 8

Find LCM:

4 = 2²

6 = 2 x 3

8 = 2³

LCM = 2³ x 3 = 24

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Find a possible number between 67 and 113:

113 ÷ 24 = 4 remainder 17

one possible number = 24 x 4 = 96

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One possible number is 96.

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

answer is because 4×10=40

and 98×4= is 392

40,392