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[The Quadratic Formula] (.)
.
.a =/ 0 .
ax2 + bx + c = 0
(a ) x2 + b x + c = 0
aa
x2 + b x = −c
aa
( ) x2 + b x + b 2 = −c + b 2
a 2a a 2a
x + b 2 = b2 − 4ac
2a 4a 2
x + b = ± b2 − 4ac
2a 4a2
x = −b ± b2 − 4ac
2a 2a
. x2 = −b − b2 − 4ac x1 = −b + b2 − 4ac
2a 2a
.