Question

If one zero of the quadratic polynomial 4
2 – 8 kx – 9 is negative of the other , find the value
of k.​

Answer 1

Question:-

• If one of the root of the quadratic equation is 4 . The equation is 2x² - kx - 8 = 0 then find k.

To Find:-

• Find the value of k.

Solution:-

$\sf \dashrightarrow \ 2 { x }^{ 2 } - kx - 8 = 0$

$\sf \dashrightarrow \ 2{ ( 4 ) }^{ 2 } - 4k - 8 = 0$

$\sf \dashrightarrow \ 32 - 8 - 4k = 0$

$\sf \dashrightarrow \ 4k = 24$

$\sf \dashrightarrow \ k = \cancel\dfrac { 24 } { 4 }$

$\sf \dashrightarrow \ k = 6$

Hence ,

• The value of k is 6.