Solve. start root b superscript 4 baseline over 25 end root equals 4
2
plus-or-minus 5 Start Root 2 End Root
3
plus-or-minus 2 Start Root 5 End Root
To solve the equation, we need to find the value of b.
Start by simplifying the given expression:
√(b^4/25) = 4
This can be rewritten as:
b^4/25 = 4^2
b^4/25 = 16
To solve for b, multiply both sides by 25:
b^4 = 16*25
b^4 = 400
Now, take the fourth root of both sides to find the value of b:
b = ±√(400)
b = ±20
Therefore, the solutions are b = 20 and b = -20.