Describe and correct the error 2b2 b 6 b2 12 b 3Solution2

Describe and correct the error. 2b^2 + b = 6 b^2 +-1/2 b = 3

Solution

2b²+b=6

b²+(1/2)b=3

b²+(1/2)b+((1/2)/2)² =3+((1/2)/2)²

b²+(1/2)b+(1/4)²=3+(1/4)²

(b+(1/4))²=3+(1/16)

(b+(1/4))²=49/16

(b+(1/4))=+/- (49/16)^1/2

(b+(1/4))=+/- (7/4)

b=-(1/4) +/- (7/4)

b=-(1 +/- 7)/4