Exercise
$y^2+8y=c$
Step-by-step Solution
Learn how to solve special products problems step by step online. Solve the equation y^2+8y=c. Factor the polynomial y^2+8y. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 8. Now, we can factor y^2+8x+16 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. We need to isolate the dependent variable y, we can do that by simultaneously subtracting -16 from both sides of the equation. Removing the variable's exponent.
Solve the equation y^2+8y=c
Final answer to the exercise
$y=-4+\sqrt{c+16},\:y=-4-\sqrt{c+16}$