Question

if alpha and beta are the zeros of the polynomial 25 x²- 16 then Alpha square plus beta square equals

Answer 1

SOLUTION:-

α and β are the zeroes of the polynomial 25x² - 16 = 0.

25x² - 16 -> 25x² + 0x - 16 = 0

comparing with general form:- ax² + bx + c

we get :-

•°• a = 25, b = 0, c = -16

• now,

α + β = -b/a = -0/-16 = 0

•°• α + β = 0

And

α β = c/a = -16/25

•°• αβ = -16/25

• now,

α² + β² = (α + β)² - 2αβ .......formula

= 0² - 2 (-16/25)

= 0 + 32/25

α² + β² = 32/25

ANSWER

α² + β² equals to 32/25.

Answer 2

Answer: \frac{1}{\alpha^{2}}+\frac. Step-by-step explanation: Given\:\alpha \:\beta \:are \\the\. Compare this polynomial with ax²+bx+c , we get. a = 25, b=25, c = 5. i)Sum\:of\:the\: zeroes ...