We are given an equation and asked to solve it with the Quadratic Formula, which we can do when the equation is written in the form ax^2+bx+c=0. To solve the equation by completing the square, write it in the form x^2+bx=c.
No solution. In both cases we need to take a square root of a negative number, which we cannot do.
Practice makes perfect
To solve the given equation with the Quadratic Formula, we have to write it in the form ax^2+bx+c=0.
We cannot take a square root of a negative number, so our equation has no solution. Let's check this result by completing the square. To do so, we have to write it in the form x^2+bx=c. Then, to complete the square we add the square of half the coefficient of x to both sides of the equation.
Again, to proceed further we would have to take a square root of a negative number. Both methods gave the same answer — our equation has no solution.
