Solving a Quadratic Equation using the Quadratic Formula: Example 1 of 1

Example: Solve the quadratic equation with the quadratic formula.

2x^2+7=4x

Solution:

The original equation.
Write the equation so that all of the terms are on the same side.
Identify a, b and c.a=2, b=-4, c=7
The quadratic formula.	$x={-b pm sqrt{b^2-4ac}}/{2a}$
Substitute the values into the quadratic formula.	$x={-b pm sqrt{b^2-4ac}}/{2a}$ $x={-(-4) pm sqrt{(-4)^2-4(2)(7)}}/{2(2)}$
Simplify using order of operations by applying powers, multiplying and then subtracting.	$x={-(-4) pm sqrt{(-4)^2-4(2)(7)}}/{2(2)}$
Simplify the radical by looking for perfect square factors of 40.
Simplify by canceling the common factor of 2 out of the terms in the numerator and denominator.