Exercise
$y^2-28y+196=3$
Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Solve the quadratic equation y^2-28y+196=3. Group the terms of the equation by moving the terms that have the variable y to the left side, and those that do not have it to the right side. Subtract the values 3 and -196. Rewrite the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-28 and c=193. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.
Solve the quadratic equation y^2-28y+196=3
Final answer to the exercise
$y=\frac{28+\sqrt{12}}{2},\:y=\frac{28-\sqrt{12}}{2}$