Найдите наибольший корень уравнения 42x^2-71 x+30=0

a=42 b=-71 c=30 [latex]D= b^{2} - 4ac[/latex] D= 71^2 - 4*30*42 = 5041 - 5040=1 [latex] x_{1}= \frac{71-1}{84} = \frac{70}{84} = \frac{35}{42}[/latex] [latex] x_{2} = \frac{71+1}{84} = \frac{72}{84} = \frac{36}{42} = \frac{6}{7} [/latex] [latex] x_{max} = \frac{6}{7}[/latex] или [latex] \frac{36}{42} [/latex]