Solving Quadratic Equations Using the Quadratic
Solve using the quadratic formula: 36x2 + 16 + 48x = 0
|Step 1 Write the quadratic equation in standard form,
ax2 + bx + c = 0.
||36x2 + 16 + 48x = 0
|On the left side, write the terms in
decreasing powers of x.
Each term is divisible by 4. To simplify
the calculations, divide both sides of
the equation by 4.
Step 2 Identify the values of a, b, and c.
|36x2 + 16 + 48x = 0
|Step 3 Substitute the values of a,
b, and c into the quadratic
|Step 4 Simplify.
|Step 5 Check each solution.
We leave the check to you.
We say that
is a solution of multiplicity two.
Solve using the quadratic formula: x2 + 5 = 3x
Notice the negative number under the square root symbol.
does not represent a real number.
Therefore, the equation x2 + 5 = 3x has no real number solutions.