How do you find the solution of this proportion?
4/9 = m2-1/54
m2 is m to the power of 2
1 answer:
Answer:
±5sqrt(6)/6 = m
Step-by-step explanation:
4/9 = m^2-1/54
Add 1/54 to both sides
4/9+ 1/54 = m^2-1/54 +1/54
4/9+ 1/54 = m^2
Get a common denominator of 54
4/9 *6/6 + 1/54 = m^2
24/54 + 1/54 = m^2
25/54 = m^2
Take the square root of each side
±sqrt(25/54) = sqrt(m^2)
±sqrt(25/54) = m
±sqrt(25)/sqrt(54) = m
±sqrt(25)/sqrt(9)sqrt(6) = m
±5/3sqrt(6) = m
±5/3sqrt(6) *sqrt(6)/sqrt(6) = m
±5sqrt(6)/3*6 = m
±5sqrt(6)/6 = m
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