Question

If x = 3 is a solution of the equation
2x2 - 5x + k = 0, find the value of k.
Hence, find the other solution of the equation​

Answer 1

Answer:

k = 3

Step-by-step explanation:

Since we know the value of x, the equations becomes:

2 × 2 - 5 × 3 + k =0

Now, to solve it, we have:

4 - 5 × 3 + k = 0

(-1) × 3 + k = 0

(-3) + k = 0

k = 0 + 3

k = 3

Hope it helps you!

Answer 2

Answer:

k = -3

x = -1/2, 3/2

Step-by-step explanation:

2x^2 - 5x + k = 0

2 (3)^2 - 5 (3) + k = 0

2 (9) - 15 + k = 0

18 - 15 + k = 0

3 + k = 0

k = - 3

(negative because it moved to the other side of the equal)

the other equation:

2x^2 - 5x + (-3) = 0

2x^2 - 5x - 3 = 0

( 2x + 1 ) ( 2x - 3 ) = 0

x = -1/2     or     x = 3/2