Find 3 rational numbers between (-3-4) and (3/4)

The three Rational between 3 and 4

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Step-by-step explanation:

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0.

{Multiply both numerator and denominator by 4} 2/3 = 2×4/(3×4) = 8/12

{Multiply both numerator and denominator by 4} 8×4/(12×4) = 32/48

{Multiply both numerator and denominator by 3} 3/4 = 3×3/(4×3) = 9/12

{Multiply both numerator and denominator by 4} 9×4/(12×4) = 36/48

33/48, 34/48, 35/48 are three rational numbers between 2/3, 3/4.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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