Penjelasan dengan langkah-langkah:

- Rumus ABC

x = -5 ± √5² - 4(2)(-3) / 2×2

x = -5 ± √25 - (-24) / 4

x = -5 ± √49 / 4

x = -5 ± 7 / 4

x1 = -5 + 7 / 4

x1 = 2 / 4

x1 = 1 / 2

x2 = -5 - 7 / 4

x2 = -12 / 4

x2 = -3

Himpunan penyelesaian = {-3, 1 / 2}

- Pemfaktoran

2x² + 5x - 3 = 0

( 2x-1 ) ( x+3 ) = 0

2x-1 V x+3 = 0

x = 1/2x V = -3

Himpunan penyelesaian = {-3, 1 / 2}

- Kuadrat sempurna

2x² + 5x - 3 = 0

2x² + 5x = 3

2x²/2 + 5x/2 = 3/2

x² + 5x²/2 + (5/4)² = 3/2 + (5/4)²

x² + 5x²/2 + 25/16 = 49/16

(x+5/4)² = 49/16

x + 5/4 = ±√49/16

x = 5/4 = 7/4 = 1/2 V x = x 5/4 = -7/4 = -3

Himpunan penyelesaian = {-3, 1 / 2}