Question

How do you solve `\sqrt { 2x + 10} = 21`?

Answer 1

Square both sides then solve for x. Answer: `x = 431/2`

Explanation:

Square both sides:

`2x + 10 = 441`

`2x = 431`

`x = 431/2`

Answer 2

`x=431/2\leftrightarrow215.5`

Explanation:

Given `\sqrt(2x+10)=21` we will solve for `x`

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calculations
square both sides `(\sqrt(2x+10))^2=(21)^2`
simplify `2x+10=441`
subtract 10 from both sides `2x\cancel(+10)\cancel(\color{seagreen}{-10})=441\color(seagreen)(-10)`
simplify `2x=431` ...
now divide both sides by 2 `(\cancel(2)x)/\cancel(\color(indianred)(2))=431/\color(indianred)(2)`
simplify `x=431/2=215.5`

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