The equation is of the form a x 2 + b x + c = 0 where: a = 1 , b = − 3 , c = − 7 The Discriminant is given by: Δ = b 2 − 4 ⋅ a ⋅ c
= ( − 3 ) 2 − ( 4 ⋅ 1 ⋅ − 7 )
= 9 + 28 = 37 The solutions are found using the formula x = − b ± √ Δ 2 ⋅ a x = − ( − 3 ) ± √ 37 2 ⋅ 1 = 3 ± √ 37 2 The solutions are x = 3 + √ 37 2 x = 3 − √ 37 2
