An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is either -7 or 3.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The complete question is "Find the value of x in the expression [tex]\sqrt{30+2x}=x+3[/tex]".
The given expression [tex]\sqrt{30+2x}=x+3[/tex] can be solved for x as,
[tex]\sqrt{30+2x}=x+3[/tex]
Square both the sides of the equation,
[tex](\sqrt{30+2x})^2=(x+3)^2[/tex]
30 + 2x = x² + 9 + 6x
0 = x² + 6x - 2x + 9 - 30
0 = x² + 4x - 21
0 = x² + 7x - 3x - 21
0 = x(x+7)-3(x+7)
0 = (x+7)(x-3)
x = -7, 3
Hence, the value of x is either -7 or 3.
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