Himpunan penyelesaian 2x² + 5x – 3 = 0 bantuin pake cara ya!! ​

Posted on

Himpunan penyelesaian 2x² + 5x – 3 = 0 bantuin pake cara ya!! ​

Penjelasan dengan langkah-langkah:

Dengan cara melengkapkan kuadrat

2x² + 5x – 3 = 0

x² + 5/2x – 3/2 = 0

x² + 5/2x = 3/2

x² + 5/2x + (5/4)² = 3/2 + (5/4)²

(x + 5/4)² = 3/2 + 25/16

(x + 5/4)² = 24/16 + 25/16

(x + 5/4)² = 49/16

x + 5/4 = ±7/4

x+5/4 = 7/4

x = 7/4 – 5/4

x = 1/2

x+5/4 = -7/4

x = -7/4 – 5/4

x = -3

HP : { ½,-3 }