Question

the square root of 3 less than certain number 5 find the number​

Answer 1

Step-by-step explanation:

This is a direct translation problem.  Let x = number

 square root 3x = x - 6

 To get rid of square root you need to square both sides.

 This removes the radical and leaves just 3x = (x - 6)squared

 This gives 3x = x squared - 12x + 36

 This is a quadratic and needs to be set equal to 0.  Then factored.

 This gives 0 = x squared - 15x + 36

 0 = (x - 12)(x - 3)

 Set each factor equal to zero and solve.

x - 12 = 0     and     x - 3 = 0

 so x = 12 and x - 3

 You will need to check both answers because when you square an equation you might get an extra answer,

 CHECK

 Let x = 12

 square root of 3(12) = 12 - 6

 square root of 36 = 6

      6 = 6

 this value works.

 Let x = 3

 square root of 3(3) = 3 - 6

 square root of 9 = -3

 this value doesn't work so it is eliminated.

 The only correct answer is 12.

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