Question

$6x {}^{2} - 13x + 6 = 0$
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Answer 1

6x² - 13x + 6 = 0

A= 6

B= - 13

C= 6

∆= b² - 4ac

∆= ( - 13)² - 4 • 6 • 6

∆= 169 - 144

∆= 25

x= - b ± √∆ / 2a

x= - ( - 13) ± √25/2 • 6

x= 13 ± 5 /12

x'= 13 + 5/12 = 18/12 (÷6) = 3/2

x''= 13 - 5/12 = 8/12 (÷4) = 2/3

S= (2/3 ; 3/2)