book Maths Puzzle Numerical Ability

What makes Algebra so important?

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find a linear equation that represents total cost (y) of heating water with respect to time. Let x represent number of months. Write the equation in slope-intercept form. Operat can u please show me how to do this problem:

the square root of (2x+5) - the square root of (x-2) = 3

I got the answer of 2, but i believe there is another possible answer,