Question

Is sun of zeros of 3 x square minus kx + 6 is 3 then find k​

Answer 1

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Maths

Polynomials

Relationship between Zeroes and Coefficients of a Polynomial

Solve it:If the sum of zero...

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Asked on December 20, 2019 by

Venessa Mondal

Solve it:

If the sum of zeroes of the quadratic polynomial 3x 2 −kx+6 is 3 then find the value of K

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ANSWER

In a general quadratic equation of form ax

2

+bx+c=0, sum of roots are by

a−b

.

In the given quadratic equation, 3x

2 −kx+6=0

a=3,b=−k,c=6

Sum of roots = a−b = 3−(−k) = 3k

and sum of roots is given 3⇒ 3k =3

⇒ k=9