Solving radical equations

Step-by-step explanation:

I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.

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  √(-14x +2) = x -3

  -14x +2 = x² -6x +9 . . . . . square both sides

  x² +8x +7 = 0 . . . . . . . . . .subtract the left side

Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION

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  4√(x -3) = 8 . . . . . given

  √(x -3) = 2 . . . . . . divide by 4

  x -3 = 4 . . . . . . . . . square both sides

  x = 7 . . . . . . . . . . . add 3

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

the k side

step-by-step explanation:

plese mark mde brainliest!