00:01
So in this question we have g of a equals to 2a squared minus 13a plus 24.
00:08
And it is stated that g of a equals to 4.
00:12
And then we are asked to find a.
00:16
So 2a squared minus 13a plus 24 equals to 4.
00:22
Now we can simplify this as 2a squared minus 13a plus 20 because this goes to the left and it becomes minus 1.
00:32
Equals 0, now we can factor this.
00:39
So let's see if we put 4 and 5 this, this will become minus 14 and it's not the case.
00:51
So if we try 4 and 5 minus, this will work, so it's equals to 0.
01:04
And now we can find the values of a, so 2a equals to 5, and a equals to 5 over 2, and a minus 4 equals to 0, a equals to 4.
01:16
So a is 5 over 2 or equals to 4.
01:20
So let's try one by 1.
01:22
So our original statement is to a squared, minus 13 a minus 24.
01:29
And we are asked to find the number of the value of a such that g of a equals to 4...