Exercise
$x^2+\left(x-1\right)^2=17$
Step-by-step Solution
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+(x-1)^2=17. A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: (a-b)^2=a^2-2ab+b^2. Combining like terms x^2 and x^2. 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. Subtract the values 17 and -1.
Solve the quadratic equation x^2+(x-1)^2=17
Final answer to the exercise
$x=\frac{1+\sqrt{33}}{2},\:x=\frac{1-\sqrt{33}}{2}$