Solve for \( a \) in the equation:
\[ 8a^2 + 6a = 5 \]
Answer (2)
8 a 2 + 6 a = 5 8 a 2 + 6 a − 5 = 0 Δ = b 2 − 4 a c = 6 2 − 4 ∗ 8 ∗ ( − 5 ) = 36 + 160 = 196 a 1 = 2 a − b − Δ = 2 ∗ 8 − 6 − 196 = 16 − 6 − 14 = 16 − 20 = − 4 5 = − 1 4 1 a 2 = 2 a − b + Δ = 2 ∗ 8 − 6 + 196 = 16 − 6 + 14 = 16 8 = 2 1
To solve 8 a 2 + 6 a = 5 , rearrange it to 8 a 2 + 6 a − 5 = 0 and apply the quadratic formula. The solutions are a 1 = − 1.25 and a 2 = 0.5 .
;
