b 2 − 5 b − 24 = 0 a = 1 , b = − 5 , c = − 24 Δ = b 2 − 4 a c = ( − 5 ) 2 − 4 ⋅ 1 ⋅ ( − 24 ) = 25 + 96 = 121 x 1 = 2 a − b − Δ = 2 5 − 121 = 2 5 − 11 = 2 − 6 = − 3
x 2 = 2 a − b + Δ = 2 5 + 121 = 2 5 + 11 = 2 16 = 8 A n s w er : x = − 3 or x = 8
b 2 − 5 b − 24 = 0 b 2 − 8 b + 3 b − 24 = 0 b ( b − 8 ) + 3 ( b − 8 ) = 0 ( b + 3 ) ( b − 8 ) = 0 b = − 3 ∨ b = 8
To solve the equation b 2 − 5 b − 24 = 0 , we use the quadratic formula. The solutions are b = − 3 and b = 8 .
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