Question

the sum and the product of the roots of a quadratic equation are 14/3 and -4 respectively find the equation

Answer 1

We have the following:

let x be a root and y the other root would be:

$\begin{gathered} x+y=\frac{14}{3} \\ x\cdot y=-4\rightarrow x=-\frac{4}{y} \\ -\frac{4}{y}+y=\frac{14}{3} \\ y=5.4 \\ x=-\frac{4}{5.4}=0.74 \\ x=-0.74 \end{gathered}$

cheking:

$\begin{gathered} 5.4-0.74=4.66\cong\frac{14}{3} \\ 5.4\cdot-0.74=3.996\cong-4 \end{gathered}$