Question

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Answer 1

An expression is defined as a set of numbers, variables, and mathematical operations. The value of x is either -7 or 3.

What is an Expression?

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 $\sqrt{30+2x}=x+3$".

The given expression $\sqrt{30+2x}=x+3$ can be solved for x as,

$\sqrt{30+2x}=x+3$

Square both the sides of the equation,

$(\sqrt{30+2x})^2=(x+3)^2$

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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