Determine whether each value of x in the table is a solution to the equation x² = 20, the equation x³ = 20, or neither.
Solution to x² = 20
Solution to x³ = 20
Neither
Determine whether each value of x in the table is a solution to the equation x² = 20, the equation x³ = 20, or neither
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To determine whether each value of x is a solution to the equations (x^2 = 20), (x^3 = 20), or neither, we need to find the square roots and cube roots of 20.
1. For (x^2 = 20):
– The solutions are (x = sqrt{20}) and (x = -sqrt{20}).
– Approximating ( sqrt{20} ) gives about (4.47).
2. For (x^3 = 20):
– The solution is (x = sqrt[3]{20}).
– Approximating ( sqrt[3]{20} ) gives about (2.71).
Now, check each given value of x in the table against ( sqrt{20} ) and ( sqrt[3]{20} ) to classify them accordingly. If the value is approximately 4.47 or -4.47, it is a solution for (x^2 = 20). If it is approximately 2.71, it is a solution for (x^3 = 20). Any other value falls under “neither.”
If you provide the values from the table, I can help classify them!