Answer: B) x = negative 1 plus-or-minus StartRoot 17 EndRoot
Explanation:
The given equation is x squared + 2 x + 1 = 17. It is written as
x^2 + 2x + 1 = 17
It is a quadratic equation. The general form of a quadratic equation is ax^2 + bx + c
Rearranging the given equation, it becomes
x^2 + 2x + 1 - 17 = 0
x^2 + 2x - 16 = 0
We will apply the general formula for quadratic equation. It is expressed as
x = [-b ± √(b^2 - 4ac)]/2a
From the equation,
a = 1
b = 2
c = -16
x = [-2 ± √(2^2 - 4×1×-16)]/2×1
x = [-2 ± √(4 + 64)]/2
x = (-2 ± √68)/2
x = (-2 ± 2√17)/2
x = (-2 + 2√17)/2 or x = (-2 - 2√17)/2
x = -1 + √17 or x = -1 - √17