If a and Beta are the zero of the the polynomial x² + 6x + 5 then a² + B² + 2aB = Question If a and Beta are the zero of the the polynomial x² + 6x + 5 then a² + B² + 2aB = in progress 0 Math Quinn 4 weeks 2021-08-19T06:14:41+00:00 2021-08-19T06:14:41+00:00 2 Answers 0 views 0

## Answers ( )

Answer:f(x)=x2-6x+k;

by comparing this eq. with ax2+bx+c = 0;

we get a = 1, b = -6 and c = k;

Suppose the roots of the equation is alpha and beta:

alpha + beta = -b/a

alpha+beta = 6/1;

alpha*beta = c/a;

alpha*beta = k

we know that:

(a+b)2 = a2+b2+2ab ;

Not putting the values in above eq.;

(6)2 = 40 + 2k;

36 – 40 = 2k;

-4 = 2k;

k= -2

Step-by-step explanation:Answer:The answer is 36.

Step-by-step explanation:We are given the equation whose roots are and

We have to find

Recall the algebraic identity

Hence, can be written as

Here, is the sum of zeroes, and the sum of zeroes of a quadratic equation is .

Hence, our required answer must be

That is,

Which happens to be 36.

Hence, your required answer is 36.

Hope it helps you.