The equation which is related to the provided equation √(x + 10) -1 = x is x + 10 = x² + 2x + 1. Option 2 is the correct option.
A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
The equation given in the problem is
[tex]\sqrt{(x + 10)} -1 = x[/tex]
Add 1 both side of the equation,
[tex]\sqrt{(x + 10)} -1 +1= x+1\\\sqrt{(x + 10)} = x+1[/tex]
Square both side of the equation as,
[tex](\sqrt{(x + 10)})^2 = (x+1)^2\\x + 10 = (x+1)^2\\[/tex]
Use the property of whole square to solve it further,
[tex]x + 10 = x^2+2x+1[/tex]
Hence, the equation which is related to the provided equation √(x + 10) -1 = x is x + 10 = x² + 2x + 1. Option 2 is the correct option.
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