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Solve for W³ + 5: W² + 5 = 30
Published on September 29, 2024
Algebra
Solve for W in the equation W² + 5 = 30, then calculate W³ + 5. The possible solutions are 130 and -120.
Question
Answer
Let’s break down this problem step-by-step.
1. Solve for W in the first equation:
-
Start with the equation:
W² + 5 = 30 -
Subtract 5 from both sides:
W² = 25 -
Take the square root of both sides:
W = ±5
(Remember, both 5 and -5 squared equal 25)
2. Substitute to find the answer:
Since we don’t have more information, we need to consider both possible values of W:
-
If W = 5:
W³ + 5 = 5³ + 5 = 125 + 5 = 130 -
If W = -5:
W³ + 5 = (-5)³ + 5 = -125 + 5 = -120
Therefore, the possible answers for W³ + 5 are 130 and -120.