Question

what is the value of k for which the zeros of quadratic polynomial kx2+3x+5 are reciprocal of each other​

Answer 1

K=8 rcb wil win this ipl ok

Answer 2

${\bold{\orange{\huge{Your\:Answer}}}}$

${\bold{\green{\huge{k=5}}}}$

step-by-step explanation:

♣ What is the definition of a quadratic equation?

✍️ A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Now,

given quadratic equation :-

k${x}^{2}$ + 3x +5 = 0

where,

a = k

b = 3

c = 5

Let,

one of the root of this equation be 'm'

But,

both roots are reciprocal of each other

therefore,

another root will be '1/m'

Now,

we know that,

sum of roots = -b/a

=> m+ (1/m) = -3/k

=> (${m}^{2}$+1)/m = -3/k

Now,

we know that,

product of roots = c/a

=> m × 1/m = 5/k

=> 5/k = 1

=> k = 5

Hence,

the value of K is 5