Solve for x in the equation x2 + 2x + 1 = 17. O x=-11 15
O x=-14 17
O x=-2+2V5
O x=-1:13

x = sqrt(17) - 1 or x = -1 - sqrt(17)

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 1 = 17

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 1)^2 = 17

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 1 = sqrt(17) or x + 1 = -sqrt(17)

Hint: | Look at the first equation: Solve for x.

Subtract 1 from both sides:

x = sqrt(17) - 1 or x + 1 = -sqrt(17)

Hint: | Look at the second equation: Solve for x.

Subtract 1 from both sides:

 x = sqrt(17) - 1 or x = -1 - sqrt(17)

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example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.