Question

If 5 is added to the square of a number, then the result is 14. What is the value of that number?

Answer 1

Answer:

the number is 3 .

(3)^2 -- 9

and when we add 5 in it (9+5) we get 14

Answer 2

❍ Let's consider the number be x .

Given that ,

• If 5 is added to the square of a number , then the result is 14 .

Then ,

• 5 + square of assumed number = 14

Or ,

• $\sf{ Equation \:Formed \:= 5 + x^{2} = 14 }$

⠀$\underline {\frak{\star\:Now \: By \: Finding \: the \: \: Values \:of\:x\::}}$

$:\implies \sf{ Equation \:Formed \:= 5 + x^{2} = 14 }\\\\ :\implies \sf{ 5 + x^{2} = 14 }\\\\ :\implies \sf{ x^{2} = 14 -5 }\\\\ :\implies \sf{ x^{2} = 9 }\\\\ :\implies \sf{ x = \sqrt {9} }\\\\\underline {\boxed{\pink{ \mathrm {  x = 3\: }}}}\:\bf{\bigstar}$

Therefore,

• The number is x = 14

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm { Hence,\: The \:number \: \:is\:\bf{14}\: }}}$

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⠀⠀⠀⠀⠀V E R I F I C A T I O N -:

$\dag\frak{\underline { As,\:We\:know\:that,\;}}$

• $\sf{ Equation \:Formed \:= 5 + x^{2} = 14 }$

Here ,

• $:\implies \sf{ x = 14}$

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$:\implies \sf{ 5 + 3^{2} = 14 }\\\\:\implies \sf{ 5 + 9 = 14 }\\\\:\implies \sf{ 14 = 14 }$

⠀⠀⠀⠀⠀$\therefore {\underline {\bf{ Hence, \:Verified \:}}}$

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