Step-by-step explanation: f={8/67} (decimal: .119403 to 6d. p) PREMISES The cardinal value of “f” in the equation c=a/b-d-e/f-d, where a=3, b=4 c=-6, d=-5, and e=2 CALCULATIONS For the equation c=a/b-d-e/f-d, the cardinal value of the independent variable “f” can be calculated by deduction, where a=3, b=4, c=-6, d=-5, and e=2 Hence, The mathematical proposition c=a/b-d-e/f-d becomes -6=3/4-(-5)-2/f-(-5) -6=3/4+5–2/f+5 -6–5–5=3/4+(5–5)-2/f+(5–5) -16=3/4+0–2/f+0 -16=3/4–2/f -16–3/4=(3/4–3/4)-2/f (-16 3/4)=0–2/f (-16 3/4)=-2/f (Eliminate the fractions by multiplying both sides of the equation by the least common denominator 4×f=4f) 4f[(-16 3/4)=-2/f] 4f[-67/4=-2/f] -67f=-8 -67f/-67=-8/-67 f= 8/67 as a proper fraction (decimal: .119403 to 6d. p) PROOF If f=8/67, then the equations c=3/4-(-5)-2/f-(-5) -6=3/4+5–2/(8/67)+5 -6=(3/4+5+5)-2(67/8) -6=(10 3/4)-2(67/8) -6=43/4–67/4 -6=(43–67)/4 -6=-24/4 and -6=-6 establish the root (zero) f=8/67 of the mathematical proposition -6=3/4-(-5)-2/f-(-5) C.H. Reply
Step-by-step explanation:
f={8/67} (decimal: .119403 to 6d. p)
PREMISES
The cardinal value of “f” in the equation c=a/b-d-e/f-d, where a=3, b=4 c=-6, d=-5, and e=2
CALCULATIONS
For the equation c=a/b-d-e/f-d, the cardinal value of the independent variable “f” can be calculated by deduction, where a=3, b=4, c=-6, d=-5, and e=2
Hence,
The mathematical proposition c=a/b-d-e/f-d becomes
-6=3/4-(-5)-2/f-(-5)
-6=3/4+5–2/f+5
-6–5–5=3/4+(5–5)-2/f+(5–5)
-16=3/4+0–2/f+0
-16=3/4–2/f
-16–3/4=(3/4–3/4)-2/f
(-16 3/4)=0–2/f
(-16 3/4)=-2/f (Eliminate the fractions by multiplying both sides of the equation by the least common denominator 4×f=4f)
4f[(-16 3/4)=-2/f]
4f[-67/4=-2/f]
-67f=-8
-67f/-67=-8/-67
f=
8/67 as a proper fraction (decimal: .119403 to 6d. p)
PROOF
If f=8/67, then the equations
c=3/4-(-5)-2/f-(-5)
-6=3/4+5–2/(8/67)+5
-6=(3/4+5+5)-2(67/8)
-6=(10 3/4)-2(67/8)
-6=43/4–67/4
-6=(43–67)/4
-6=-24/4 and
-6=-6 establish the root (zero) f=8/67 of the mathematical proposition -6=3/4-(-5)-2/f-(-5)
C.H.