Question

If α and β are the roots of the quadratic equation 2x2 + 6x - 5 = 0, then find α + β and α β.

Answer 1

Answer:

alpha+beta=-3

alpha*beta=5/2

Step-by-step explanation:

2x^2+6x-5=0

we know that :-

alpha+beta=-b/a

and alpha*beta=c/a

so that

alpha + beta=-6/2=-3

alpha * beta=5/2

Hence it is clear bro

Hope you my answer is helpful to you

then pls mark me as a brainlist pls bro pls

Answer 2

Correct Question:-

If α and β are the roots of the quadratic equation 2x2 + 6x - 5 = 0, then find α + β and α β.

Answer :

$comparing \: 2x {}^{2} + 6x - 5 = 0 \: with \: ax {}^{2} + bx + c = 0$

$\: so \: a \: = 2 \\ \: \: \: \: \: \: \: b = 6 \\ \: \: \: \: \: \: \: \: c = - 5$

Therefore α + β

$= \frac{ - b}{a} = \frac{ - 6}{2 } = - 3$

and α ×β

$= \frac{c}{a} = \frac{ - 5}{2}$

Thanks!