## If a^x=b^y=c^z and b^2=ac, then, show that y=2zx/(z+x)

If a^x=b^y=c^z and b^2=ac, then, show that y=2zx/(z+x)

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# Category: Solved Questions Class 9

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If a^x=b^y=c^z and b^2=ac, then, show that y=2zx/(z+x)

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If a^x=b,b^y=c and c^z=a, then, prove that xyz=1, where a,b,c are real numbers and x,y,z are rational numbers.

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If p and q are rational numbers and p-√q=(4+√2)/(3+√2), find the values of p and q.

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If x=√((5+2√6)/(5-2√6)) , show that x^2 (x-10)^2=1

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If a=(√5-2)/(√5+2), show that a^4+a^(- 4) is an integer. Find it.

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If x=√(3+2√2) , find the value of: x+1/x and x^2+1/x^2

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If x=1/(√3-√2), prove that x^3+1/x^3 +2(x^2+1/x^2 )-9(x+1/x)=20

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Find the value of x^3-6x^2+18x-22, where x=2-2^(1/3)+2^(2/3)

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If a^x=b^y=c^z and b^2=ac, then, show that y=2zx/(z+x)

If a^x=b,b^y=c and c^z=a, then, prove that xyz=1, where a,b,c are real numbers and x,y,z are rational numbers.

If p and q are rational numbers and p-√q=(4+√2)/(3+√2), find the values of p and q.

If x=√((5+2√6)/(5-2√6)) , show that x^2 (x-10)^2=1

If a=(√5-2)/(√5+2), show that a^4+a^(- 4) is an integer. Find it.

If x=√(3+2√2) , find the value of: x+1/x and x^2+1/x^2

If x=1/(√3-√2), prove that x^3+1/x^3 +2(x^2+1/x^2 )-9(x+1/x)=20

Find the value of x^3-6x^2+18x-22, where x=2-2^(1/3)+2^(2/3)