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Solve algebraically showing all steps.
2x−1−−−−−√+7=10
To solve the equation 2√(x) - 1 + 7 = 10 algebraically, follow these steps:
1. Start with the given equation: 2√(x) - 1 + 7 = 10.
2. Subtract 7 from both sides to isolate the square root term: 2√(x) - 1 = 3.
3. Add 1 to both sides to get rid of the -1 term: 2√(x) = 4.
4. Divide both sides by 2 to solve for √(x): √(x) = 2.
5. To find x, square both sides of the equation: (√(x))^2 = 2^2.
6. Simplify both sides: x = 4.
Therefore, the solution to the equation 2√(x) - 1 + 7 = 10 is x = 4.