To solve the equation, sqrt(2x + 10) - 1 = x, we first need to isolate the square root term by moving the constant and x term to the other side of the equation.
1. Add 1 to both sides:
sqrt(2x + 10) = x + 1
2. Square both sides to eliminate the square root:
(√(2x + 10))^2 = (x + 1)^2
2x + 10 = x^2 + 2x + 1
3. Simplify the equation:
2x + 10 = x^2 + 2x + 1
Rearrange to get: 0 = x^2 - 9
4. Solve the quadratic equation by factoring:
0 = (x - 3)(x + 3)
5. Set each factor to zero:
x - 3 = 0 or x + 3 = 0
6. Solve for x:
x = 3 or x = -3
Therefore, the solutions to the equation sqrt(2x + 10) - 1 = x are x = 3 and x = -3.
part A solve the equation and.show all nesscary steps sqrt2x+10-1=X
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