If x = √7/5 and 5/x = p √7, then value of p
7/25
25/7
7
25
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Answer:
p=(25/7)
x= sqrt(7)/5
substitute into second equation.
{5/(sqrt 7/5)}=p sqrt (7)
invert and multiply
(25/sqrt (7))=p (sqrt (7))
multiply both sides by sqrt (7)
25 =7p
divide by 7
(25/7)=p
Check
sqrt (7)=2.65
x=2.65/5, or 0.53
5/0.53 is 9.45
(25/7)*2.65=9.46
This is the same given that sqrt (7) is being rounded.
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