\(b^2 + 6c = 7d\) The given equation relates the real numbers \(b\), …

Question

Prompt

b^{2} + 6 c = 7 d

The given equation relates the real numbers

b

c

, and

d

, where

d > \frac{6}{7} c

. Which equation correctly expresses

b

in terms of

c

and

d

b = \frac{7 d - 6 c}{2}

b = \frac{7 d + 6 c}{2}

b = \pm 7 d - 6 c

b = \pm 7 d + 6 c