Write out the form of the partial fraction decomposition of the function x3 x2 1 x(x 2 + x + l)(2 1)3 SOLUTION x3 +x2 +1 x(x 1(r
2 + x + )(2)
1 answer:
Answer:
The decomposition is as shown in the attachment below
Step-by-step explanation:
Where A, B, C, D, E, F, G, H, I, J are numerical value of the coefficients that can be determined by method of comparing coefficients. Hence , there are two methods for solving partial fractions ; Cover up method and method of comparing coefficients.
The form of the partial fraction decomposition is as shown in the attachment.
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Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = PQ substitute values
- 32 + 9x = (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4