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Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40​

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Answer:

Step-by-step explanation:

v=√u*u- 2qs

  1. [tex]\sqrt{20}[/tex] x 20 - 2q40 = 8
  2. [tex]2\sqrt{5}[/tex] x 20 - 2q40 = 8
  3. 40[tex]\sqrt{5}[/tex] - 2q40 = 8
  4. - 2q40 = 8 - 40[tex]\sqrt{5}[/tex]
  5. -80q = 8 - 40[tex]\sqrt{5}[/tex]
  6. q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018

Above given answer is correct.

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