Question

if alpha and beta are the zeros of the polynomial P of x is equal to X square + 7 x + 10 then find the value of alpha + beta​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$p \: (x) = 5 {x}^{2} - 7x + 1$

Here,

A = 5, B = -7, C = 1

sum of zeroes = -B/A

Alpha + Beta = -(-7)/5

Alpha + Beta = 7/6

And,

product of zeroes = C/A

Alpha * Beta = 1/5

sum of zeroes of quadratic polynomial whose zeroes are, 1/Alpha and 1/Beta

sum of zeroes = 1/Alpha + 1/Beta

= 1 * Beta + 1 * Alpha / Alpha * Beta

= Beta + Alpha / Alpha Beta

= 7/5 / 1/5

= 7

I hope this may help you