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The solution of the equation is and
Explanation:
Given that the equation is
We need to determine the solution of the equation by completing the square.
Thus, we have,
Adding both sides of the equation by 16, we get,
Let us solve by completing the square.
To bring the equation in the form of , let us add
to both of the equations.
Thus, we have,
Simplifying, we get,
Taking square root on both sides of the equation, we get,
Thus, the two solutions of the quadratic equation are
and
Simplifying the two values, we get,
and
Thus, the roots of the equation are and