If one root root of equation ax^2+bx+c=0 is square of the other then show that a(c-b)^3=c(a-b)^3

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If one root root of equation ax^2+bx+c=0 is square of the ​other then show that a(c-b)^3=c(a-b)^3 ​

Mathematics Expert - askIITians · Answer

Given Let roots are And Consider left and side Consider right hand side. Therefore, Hence, proved

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If one root root of equation ax^2+bx+c=0 is square of the other then show that a(c-b)^3=c(a-b)^3

If one root root of equation ax^2+bx+c=0 is square of the other then show that a(c-b)^3=c(a-b)^3

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If one root root of equation ax^2+bx+c=0 is square of the ​other then show that a(c-b)^3=c(a-b)^3 ​

If one root root of equation ax^2+bx+c=0 is square of the ​other then show that a(c-b)^3=c(a-b)^3​

1 Answers

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If one root root of equation ax^2+bx+c=0 is square of the other then show that a(c-b)^3=c(a-b)^3

If one root root of equation ax^2+bx+c=0 is square of the other then show that a(c-b)^3=c(a-b)^3