Question

if alpha, beta are the zeros of 2 x^2+3x+1 then alpha , beta =​

Answer 1

$2 {x}^{2} + \: 3x \: + 1$

By middle term split

$2 {x}^{2} + 2x + x + 1$

$2x(x + 1) \: + 1(x + 1)$

$(x + 1) \: (2x + 1)$

so the zeroes of the quadratic polynomial are

$- 1 \: and \: \frac{ - 1}{2}$

therefore

Alpha = -1

$\alpha = - 1$

and beta = -1/2

$\beta = \frac{ - 1}{2}$

Answer 2

Answer:

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