Use splitting the middle term method to solve the below equation. Is there a limitation to this method?
$$5b^2-16b+4=0$$
[Math] Solving a quadratic equation using the “splitting the middle term” method.
algebra-precalculusfactoringquadraticsroots
algebra-precalculusfactoringquadraticsroots
Use splitting the middle term method to solve the below equation. Is there a limitation to this method?
$$5b^2-16b+4=0$$
Best Answer
Your polynomial is not readily factorizable: $$D = 16(16-5) = 4^211$$ $$ x_{1,2} = \frac{8 \pm 2\sqrt{11}}{5}$$ $$5(x-8+2\sqrt{11})(x-8-2\sqrt{11})$$