Question

Find the value of K if one root of equation 4x2 – 3Kx + 2 = 0 is 2. -2​

Answer 1

Given x \: = \: 2, is \: a \: root \\ \: of \: the \: equation \\ 4x² - 3Kx +2=0 \\ Calculation: \\

4x² - 3Kx + 2 = 0 \\

4(2)² - 3K x 2 +2=0 \\

4x4 - 3K x 2 + 2 = 0 \\

16 - 6K+2=0 \\

16- 6K + 2 = 0 \\

-6K + 18 = 0 \\

-6K = -18

K = 3 \\

the \: value \: of \: K \: is \: 3.