Question

Solve for x in the equation x^2 + 2x+ 1 = 17.

x=-11 square root 15
X=-11 square root 17
x=-2+2/5
x=-1+ square root 13

Answer 1

first, subtract 17 on both sides: x²+2x-16=0

this cannot be factored, so use the quadratic formula to solve for x:

b²-4ac=2²-4(10(-16)=4+64=68

√68=2√17

so x=(-2+2√17)/2 or x=(-2-2√17)/2

x=-1+√17 or x=-1-√17

Explanation: