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CBSE Class 10 Answered

Find all the zeroes of p(x)=2x^4-11x^3+7x^2+13x-7 of two of its zeroes are 3+root 2 &3-root 2.
Asked by ananyachandra90 | 19 Jun, 2019, 02:32: PM
answered-by-expert Expert Answer
T w o space z e r o e s space a r e space 3 plus square root of 2 space a n d space 3 minus square root of 2
let other two zeroes be a and b
Sum of the zeroes = a+b+6=11 over 2
rightwards double arrow a plus b equals negative 1 half space space rightwards double arrow space a equals negative 1 half minus b
Product of zeroes = 7ab=negative 7 over 2 space rightwards double arrow space a b equals negative 1 half
Solving tw equations simultaneously, we get the other two roots as -1 and 1/2.
Answered by Renu Varma | 19 Jun, 2019, 06:43: PM

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