find x, if (p-q) x,(p+q) are in AP
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Answer:
The condition in AP is
2b=a+c
Here,a=p-q
b=x
And,c=p+q
2x=p-q+p+q
2x=2p
x=p
Step-by-step explanation:
Hope it helps you.....
Answer:
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SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -d
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -dso.
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -dso. x ^{ - d} .y^{2d} . {z}^{ - d} = {x}^{ - d} {z}^{ - d} . {y}^{2d}
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -dso. x ^{ - d} .y^{2d} . {z}^{ - d} = {x}^{ - d} {z}^{ - d} . {y}^{2d} so it becomes
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -dso. x ^{ - d} .y^{2d} . {z}^{ - d} = {x}^{ - d} {z}^{ - d} . {y}^{2d} so it becomes = {y^2 / xz}^d = 1^d = 1 ...... from eqn (1)
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -dso. x ^{ - d} .y^{2d} . {z}^{ - d} = {x}^{ - d} {z}^{ - d} . {y}^{2d} so it becomes = {y^2 / xz}^d = 1^d = 1 ...... from eqn (1)4.1
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -dso. x ^{ - d} .y^{2d} . {z}^{ - d} = {x}^{ - d} {z}^{ - d} . {y}^{2d} so it becomes = {y^2 / xz}^d = 1^d = 1 ...... from eqn (1)4.162 votes
SEE ANSWERSLog in to add commentAnswers UnusualUnusual ExpertAnswer is one . as x y z are in gp so y = \sqrt{xz } = > y^{2} = xz............ (1)now p q r are in ap so q-r = -d. r-p = 2d and p-q = -dso. x ^{ - d} .y^{2d} . {z}^{ - d} = {x}^{ - d} {z}^{ - d} . {y}^{2d} so it becomes = {y^2 / xz}^d = 1^d = 1 ...... from eqn (1)4.162 votesIf there is any confusion please leave a comment below.