Question

If root of eqn 3x²+ky+8=0 is ⅔ find k

Answer 1

Hello mate.

the question may be of the form

$3 {x}^{2} + k {x} + 8 = 0$

because we cannot solve for a value from a single equation having 2 variables.

so, solving for the equation

$3 {x}^{2} + kx + 8 = 0$

$3 \times (2 \div 3) ^{2} + k \times (2 \div 3) + 8 = 0$

$(4 \div 3) + (2k \div 3) + 8 = 0$

solve the above one further to get the exact value of k