Answer
$x= 1.8235, -3.8285$
Work Step by Step
$x^2+2x-7=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-2±\sqrt {2^2-4*1*-7})/2*1$
$x=(-2±\sqrt {4+28})/2$
$x=(-2±\sqrt {32})/2$
$x=(-2±5.657)/2$
$x=(-2+5.657)/2$
$x=3.657/2 = 1.8235$
$x=(-2-5.657)/2$
$x= -7.657/2 = -3.8285$