Question

If x= -2 is a root of the quadratic equation 3x2-5x +2k =0 then find the value of k ​

Answer 1

Given Equation:

$\huge \purple {\tt { {3x}^{2} - 5x + 2k = 0}}$

Value:

x = -2

Solution:

By putting the value of x, we get

$\large \pink {\tt { {3( - 2)}^{2} - 5( - 2) + 2 k = 0}}$

$\large \blue {\tt {or, \: 3(4) + 10 + 2k = 0}}$

$\large \orange {\tt {or, \: 12 + 10 + 2k = 0}}$

$\large \green {\tt {or, \: 2k = - 22}}$

$\large \red {\tt {or, \: k = - \frac{ - 22}{2} = - 11}}$

Answer:

k = -11

Answer 2

Answer:

k = -11

Step-by-step explanation:

x=-2

p(x)=3x^2-5x+2k

p(-2)=3(-2)^2-5(-2)+2k

=3×4 +10 +2k

=12 + 10 + 2k

0 = 22+2k

-22=2k

-22/2=k

k= -11