Solve a Quadratic Equation by using the Square Root Method

This Movie (Quicktime)
will show you how to solve quadratic equations by using the Square Root Method.

The following is the movie transcript.

Hi, my name is Anthony and I am going to show you how to solve quadratic equations using the square root method.

Here is a quadratic equation that can be solved using the square root method.
Seven ‘x’ squared plus three equals eight hundred and fifty.

The first step is to apply the addition property, which means we need to transpose positive three to the opposite side of the equation which will give us minus three.
This will give us seven ‘x’ squared equals eight hundred and fifty minus three.
Which is seven ‘x’ squared equals eight hundred and forty seven.

The next step is to divide by the coefficient of ‘x’ squared, which is seven.
So, you take seven ‘x’ squared and divide by seven, you take eight hundred and forty seven and divide that by seven also, which gives us ‘x’ squared equals one hundred and twenty one.

For the final step we will apply the square root method, which means we need to take the square root of x’ squared plus or minus the square root of one hundred and twenty one which will give us ‘x’ equals plus or minus eleven.

This concludes my presentation on how to solve a quadratic equation using the square root method.

End Movie Transcript

Posted at 01:40PM Feb 24, 2007 by llinebarger in Intermediate Algebra  |