Question

Find the solutions of the function using the quadratic formula y=0.05x^2 + x + 1

Answer 1

Are you familiar with the quadratic formula?

Answer 2

not really and i dont really know how to solve an equation usiing it

Answer 3

y=0.05x^2 + x + 1

0=0.05x^2 + x + 1 ... plug in y = 0

0.05x^2 + x + 1 = 0 ... flip the equation

100(0.05x^2 + x + 1) = 100*0 ... multiply both sides by 100

5x^2 + 100x + 100 = 0 ... distribute


Now use the quadratic formula to solve for x


\[\Large x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\]


\[\Large x = \frac{-(100)\pm\sqrt{(100)^2-4(5)(100)}}{2(5)}\]


\[\Large x = \frac{-100\pm\sqrt{10000-(2000)}}{10}\]


\[\Large x = \frac{-100\pm\sqrt{8000}}{10}\]


I'll let you finish