x 2 − 3 x + 2 = 0 a = 1 ; b = − 3 ; c = 2 Δ = b 2 − 4 a c Δ = ( − 3 ) 2 − 4 ⋅ 1 ⋅ 2 = 9 − 8 = 1 x 1 = 2 a − b − Δ ; x 2 = 2 a − b + Δ Δ = 1 = 1 x 1 = 2 ⋅ 1 3 − 1 = 2 2 = 1 ; x 2 = 2 ⋅ 1 3 + 1 = 2 4 = 2 A n s w er : x = 1 or x = 2.
x 2 − 3 x + 2 = ( x − 1 ) ( x − 2 )
3x=4 ;
The solutions to the quadratic equation x 2 − 3 x + 2 = 0 using the quadratic formula are x = 1 and x = 2 .
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