Exercise
$x^2-\frac{2}{5}x+\frac{25}{16}=-1+\frac{25}{16}$
Step-by-step Solution
Learn how to solve differential equations problems step by step online. Solve the quadratic equation x^2-2/5x25/16=-1+25/16. Simplify the addition -1+\frac{25}{16}. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Multiply the fraction and term in - \frac{25}{16}. Combine fractions with common denominator 16.
Solve the quadratic equation x^2-2/5x25/16=-1+25/16
Final answer to the exercise
$x=\frac{2+\sqrt{96}i}{10},\:x=\frac{2-\sqrt{96}i}{10}$