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
Answers
Answered by
3
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!
Answered by
3
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
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