Question

What is the maximum answer of the equation 20%3D%200" id="TexFormula1" title="6 {x}^{2} + 11x + 3 = 0" alt="6 {x}^{2} + 11x + 3 = 0" align="absmiddle" class="latex-formula">
?​

Answer 1

Answer:

-(1/3)

Step-by-step explanation:

6x² + 11x + 3 = 0

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x_{1,\:2}=\frac{-11\pm \sqrt{11^2-4*6*3}}{2*6\\}\\x_{1} = -\frac{1}{3} \\\\x_{2} = -\frac{3}{2} \\\\-\frac{1}{3} >-\frac{3}{2}$