00:01
Hi, so we are to find the value of x and a using the two given equations here.
00:09
So starting with the first equation, we'll rearrange this to solve for a.
00:14
So we'll have 0 .35a and positive 382 .59 multiplied by x over square root of x squared plus 3 .6 squared on the right side of the equation, isolating a.
00:31
We'll have 382 .59 divided by 0 .35 and this is 109 3 .114 -2 -86 multiplied by x over squared of x squared plus 3 .6 squared.
00:52
So we'll plug in this value of a in the second equation.
00:56
Second equation will now be written as 109 3 .114 -286 multiplied by x over squared of x squared plus 3 .6 squared minus 922.
01:13
Let's just isolate the term without the variable on the right side of the equation.
01:20
Right, 382 .59 multiplied by 4 over square root of x squared plus 3 .6 squared.
01:30
This would be equivalent to positive 922 .14.
01:38
We can rewrite this as 109 .3 .114 -286 x over squared up x squared plus 3 .6 squared and 382 .59 times 4 is 1530 .36 over square of x squared plus 3 .6 squared plus 382 .59 times 4 is 1530 .36 over squared up x squared plus 3 .6 squared.
02:11
Now since they have the same denominator, we'll just combine this.
02:16
We'll just add the numerator.
02:21
We'll have 1093 .114 -286x plus 1530 .0 .36.
02:30
We have 922 .14 on the right side of the equation.
02:34
Now let's get read of the denominator, multiply both sides of the equation by squared of x squared plus 3 .6 squared.
02:44
So we'll now have 109 .3 .114 -286x plus 1530 .36.
02:54
Then we have 922 .14 multiplied by squared up x squared plus 3 .6 squared.
03:02
Now, to get read of the squared symbol, we'll multiply both sides of the equation, or raise both sides of the equation, rather, to do.
03:14
Power up one half so we'll now have oh sorry it should be to the power of two square root is um raise to the power of one half so in order to cancel that out in order to make it one we'll have to raise this to the power of two so one zero nine three point one one four two eight six squared is one one nine four eight nine eight one nine four one nine four one nine four eight nine nine four eight nine nine 0 .842.
03:54
We have x squared plus 1530 .36 squared is 234 -2001 .73 and 922 .14 squared is 850342 .12916.
04:16
Then we'll have x squared plus 3 .6 squared...