Page 103 - aljaber

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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

.