Get expert insights and reliable answers to your questions on IDNLearn.com. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.
Let's solve the equation; to do this we can use the general formula for quadratic equations:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]For this equation we have a=4, b=28 and c=49; plugging these values in the general formula we have:
[tex]\begin{gathered} c=\frac{-28\pm\sqrt{28^2-4(4)(49)}}{2(4)} \\ =\frac{-28\pm\sqrt{0}}{8} \\ =-\frac{28}{8} \\ =-\frac{7}{2} \end{gathered}[/tex]Therefore, c=-7/2