Question

Find the value of k such that 2 is root of 14x2-27x+k

Answer 1

Answer:

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Answer 2

Value of k is -2.

Step-by-step explanation:

Given:

• $14 {x}^{2} - 27x + k$
• if 2 is one of the root of the quadratic polynomial.

To find:

• Find the value of k.

Solution:

Concept to be used:

If x=a is root of a polynomial then it satisfies the polynomial.

Step 1:

Put x=2 in the polynomial.

$14 {(2)}^{2} - 27(2) + k = 0$

Step 2:

Simply the equation.

$14 \times 4 - 54 + k = 0$

or

$56 - 54 + k = 0$

or

$2 + k = 0$

or

$\bf \red{k = - 2 }$

Thus,

Value of k is -2.

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