Question

if one root of the quadratic equations 2x+kx-6=0is 2 the value of k is​

Answer 1

Answer:

k=1

Step-by-step explanation:

P(x) = 2x + kx- 6=0

One root is 2

P(2) = 2×2 + 2K -6 =0

= 4-6+2k =0

= 2k = 2

= K = 1

Answer 2

Answer:

-1

Step-by-step explanation:

Let the roots be α and β

αβ= -6/2

2β=-3

β= -1.5

α+β= -k/2

2-1.5 = -k/2

k = - 1

2x² - 1x - 6 = 0

2x² -4x +3x -6 =0

2x(x-2)+3(x-2) =0

(x-2)(2x+3) = 0

x=2 or -1.5