Penjelasan dengan langkah-langkah:

5,76x² + 2,86x = 1,35  

576/100 x² + 286/100 x = 135/100

144/25 x² + 143/50 x = 27/20

100(144/25 x² + 143/50 x) = 100(27/20)

4(144) x² + 2(143) x = 5(27)

576 x² + 286 x = 135

Menggunakan rumus abc :

576 x² + 286 x = 135

a = 576

b = 286

c = -135

x1, 2 = -b ± √b² - 4ac/2a

x1, 2 = -286 ± √(286)² - 4(576)(-135)/2(576)

x1, 2 = -286 ± √81.796 - 2.304(-135)/1.152

x1, 2 = -286 ± √81.796 + 311.040/1.152

x1, 2 = -286 ± √392.836/1.152

x1, 2 = -286 ± 2√98.209/1.152

x1 = -286 + 2√98.209/1.152

x1 = -143 + √98.209/576

x2 = -286 - 2√98.209/1.152

x2 = -143 - √98.209/576

Nilai x yang memenuhi adalah -143 - √98.209/576 dan -143 + √98.209/576