Question

solution of
the equation 3x² + 2kx - 3 is -1/2.
Find value of k

Answer 1

Answer:

3(-1/2)^2 + 2k(-1/2) -3=0

3/4 -k -3=0

3/4-3=k

-9/4=k

Answer 2

Solution :-

3x^2.+ 2kx - 3 = 0

Here, Solution of the equation that is x = -1/2

Subsitute the value of x in given equation,

3( -1/2)^2.+ 2k( -1/2) - 3 = 0

3 * 1/4 - 2k - 3 = 0

3/4 - 2k - 3 = 0

-2k - 3 = -3/4

-2k = -3/4 + 3

-2k = -3 + 12/4

-2k = 9/4

k = 9/4/-2

k = 9 / 4 * (-2)

k = 9/-8

k = -9/8

Hence, The value of K is -9/8 $.$

Learn More :-

• A quadratic equation is a equation whose highest power of degree is 2

• The general form of quadratic equation is ax^2 + bx + c = 0