If a and b are zeroes of the polynomial f(x)=x²-4x-5 then find the value of a²+b²​

Question

If a and b are zeroes of the polynomial f(x)=x²-4x-5 then find the value of a²+b²​

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Madelyn 1 month 2021-08-13T17:14:07+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T17:15:23+00:00

    Answer:

     {x}^{2}  - 4x - 5 = 0 \\  \\  {x}^{2}  + x - 5x - 5 = 0 \\  \\ x(x + 1) - 5(x + 1) = 0 \\  \\ (x + 1) \: (x - 5) = 0 \\  \\ x =  - 1 \: (say \:  \: a) \\  \\ or \: x = 5 \: (say \: b)

    Now,

     {a}^{2}   +  {b}^{2}  =  {( - 1)}^{2}  +  {(5)}^{2}  \\  \\  = 1 + 25 \\  \\  = 26

    If it helps please help me back by marking it brainliest.

    0
    2021-08-13T17:15:24+00:00

    Answer:

    a^2 + b^2 = 26

    a and b are zeros of the polynomial

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