Question

A quadratic polynomial 2x^2-5x - 6 have zeroes alpha and beta . Find the value of alpha + beta - alpha × beta.​

Answer 1

Step-by-step explanation:

in quadratic equation

alpha + beta = -b/ a =5/2 and

alpha × beta = c/a=-3

where

ax²+bx+c

by the given quadratic

we get

alpha + beta - alpha × beta.

5/2+3

11/2

5.5

thank you

Answer 2

hey mate

given polynomial

2x²-5x -6=0. ...(1)

and , zeros are alpha and beta .

find here

alpha + beta - alpha × beta.=?

solution:

let

alpha = p

beta = q

now,

sum of zeros = -{coefficients of x}/(coefficient of x²)

p+q= -(-5)/2. = 5/2 ...(2)

and ,

produced of zeros = constant part / coefficient of x²

pq = -6/2

pq= -3. ...(3)

now,

alpha + beta - alpha × beta

= p+q - p×q

= 5/2 - (-3)

= 5/2 +3

= (5+6)/2

= 11/2

I hope it's helps u

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