Solve the following equation:
Solve the following equation:
Notice that the quadratic equation:
and this is because there is a quadratic term (meaning raised to the second power),
The first step in solving a quadratic equation is always arranging it in a form where all terms on one side are ordered from highest to lowest power (in descending order from left to right) and 0 on the other side,
Then we can choose whether to solve it using the quadratic formula or by factoring/completing the square.
The equation in the problem is already arranged, so let's proceed with the solving technique:
We'll choose to solve it using the quadratic formula,
Let's recall it first:
The rule states that the roots of an equation of the form:
are:
(meaning its solutions, the two possible values of the unknown for which we get a true statement when substituted in the equation)
This formula is called: "The Quadratic Formula"
Let's return to the problem:
and solve it:
First, let's identify the coefficients of the terms:
where we noted that the coefficient of the quadratic term is 1,
And we'll get the equation's solutions (roots) by substituting the coefficients we just noted into the quadratic formula:
Let's continue and calculate the expression inside the square root and simplify the expression:
Therefore the solutions to the equation are:
Therefore the correct answer is answer D.