Determine the values of p for which the quadratic equation 2x² + 3x + p = 0 has real roots
Answers
Answered by
12
Answer:
Step-by-step explanation:
Let f(x) = 2x2 - 3x + p
If f(a) = 0, then it is said that a is a zero of f(x).
Given, 3 is a zero of f(x).
f(3) = 0
2(3)2 - 3(3) + p = 0
18 - 9 + p = 0
p = -9
f(x) = 2x2 - 3x - 9
= 2x2 - 6x + 3x - 9
= 2x(x - 3) + 3(x - 3)
= (x - 3)(2x + 3)
Thus, the other zero of f(x) is .
Similar questions