Question

if alpha and beta are the roots of x square + 6 x minus 4 equal to zero find the value of Alpha minus beta whole square​

Answer 1

Answer:

heyyyaa!!!

Step-by-step explanation:

Given:

x^2 + 6x - 4 = 0

$\alpha \beta$

are the roots of this equation..

To find:

$( \alpha - \beta )^{2}$

Solution:

We know that,Sum of the roots,

$\alpha + \beta$

Sum of roots = -b/a

b => Coefficient of x

a => coefficient of x^2

Sum of roots = -6/1

=-6

Product of the roots ,

$\alpha \beta$

Product of roots = c/a

c => constant term

Product of roots = -4/1

= -4

We know that,

$( \alpha - \beta ) ^{2} = ( \alpha + \beta ) ^{2} - 4 \alpha \beta$

= (-6)^2 - 4(-4)

= 36 +16

=52

The Answer is 52

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