00:01
Hello, let's have a look at the question.
00:02
So the question state the answer of the following basic equation is we have the equation as 10 is equals to a multiplied with x square plus 9 plus bx plus c and multiplied with x minus 1.
00:21
So we have to find the value of a b c here.
00:25
So now to solve this first of all we can write this equation as 10 is equals to ax square plus 9a plus bx square minus bx plus cx minus c or we can write this as 0x square plus 0x plus 10 is equals to here we can write a plus b multiplied with x square 10 plus c minus b multiplied with x and plus 9a minus c.
01:06
So let us equate the coefficient of both the sides.
01:17
So we will get that a plus b is equals to 0 then c minus b is equals to 0 and 9a minus c is equals to 10.
01:30
So this is the first equation let this be the second equation and let this be the third equation.
01:37
So now adding the first and second equation we will get that a plus b is equals to 0 and c minus b is equals to 0.
01:49
So b will get cancelled and we have a plus c is equals to 0.
01:54
Now from the equation third we have that 9a minus c is equals to 10 and we got earlier that a plus c is equals to 0.
02:07
So let us add these.
02:09
So we have 9a plus a is equals to 10.
02:13
So 10a is equals to 10.
02:16
So the value of a is equals to 10 by 10 that is equals to 1...