 
Welcome back to speller tutorial services
today, we're going to use the quadratic equation or the quadratic formula to solve this quadratic equation if you look back at previous videos we've
Solved this same equation using the graphing method
Factoring method and also the completing the square method alright, let's begin by defining
the
quadratic equation quadratic equation is
Negative B plus
Or minus the square root of B. Squared minus 4ac
Where all of that is divided by 2a and let's change the color here to make a distinction here. We see that a
call that the coefficient of x squared which is the a value is 1 the coefficient for B, or
6 x term is 6 and
the value of C is 5 we're going to take these values here and
Substitute those into our quadratic equation, so here we have negative 6 plus or minus
6 Squared minus 4 Times 1 Times 5
where one is
A and C is 5 all that divided by 2 times a and we see here that a is 1 and?
Again this here is what the x value?
Equals we begin by breaking down this this fraction here
negative 6 plus or minus the square of 6 is 36 and then we have
Minus 4 times 1 which is four and then 4 times 5 to give me 20
And then our denominator here two times one to give us two
Again, we rewrite the negative six plus or minus and we evaluate what's underneath the radical
36-20 is 16, and we keep our denominator here of two
now we again write the negative six the square root of sixteen is four and
Then again, we divide everything by two at this point. We see that we need two separate equations
so x equals negative six plus 4 divided by 2 and
x equals negative 6 minus 4 divided by 2
negative six plus four gives me a negative 2 and
my denominator is a 2 and negative 2
divided by 2 gives me a negative 1 and then here we have negative 6 minus 4 to give me a negative 10 and
Negative 10 divided by 2 gives me a negative 5 so here again. We see that our solutions to this problem
Still come out to be a negative 1 and a negative 5 so here. We've so here
We've learned how to use the quadratic equation 2 I'm sorry the quadratic formula to solve a quadratic equation
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