00:01
Here we have 3w multiplied by w minus 2 minus 8 is equal to 0.
00:07
And we have to find the solution for this quadratic equation by quadratic formula.
00:13
But for quadratic formula, quadratic formula is defined for a quadratic equation of the form a x square plus bx plus c is equal to 0 where a is not equal to 0.
00:27
In such a case, the solution of his equation is x is equal to minus b plus or minus root of b square minus 4a c whole divided by 2a right in such a case we can find solution using the quadratic formula but here here we don't have the quadratic equation in this form in order to convert this into this form but we are to do so we just have to multiply this you have to solve this bracket first.
01:00
On doing that we'll get 3 w multiplied by w will get 3 w squared then 3 w multiplied by minus 2 we get minus 6 w right minus 6 w and the rest is minus 8 equal to 0.
01:16
Right now these two are of similar form from this we have to right we'll take out the values that is required for this formula that is a and c so from a we get three for a we get three and for b we get minus six and for c we get minus eight now what we have to do is that we just have to substitute these three values these three values into this equation doing that we get x is equal to minus b that is minus of minus six we get six plus or minus out of b square minus 4 ac so b squared is 6 minus 6 square which will get 36 minus 4 multiplied by a multiplied by c so a is 3 and c is minus 8 all of this divided by 2a that is 3 2 multiplied by 3 this gives us 6 plus or minus root of 36 minus 4 multiplied by 3 multiplied by minus 8 that is 4 .4 into 3 you will get 12.
02:41
That multiplied by minus 8 is 96.
02:45
Sorry, minus 96.
02:49
12 multiplied by 8 is 96.
02:52
So here it is minus 8.
02:53
It will get minus 96...