Question
Question: If a, b are the roots of the equation 2x<sup>2</sup> – 3x – 5 = 0, then the equation whose roots are...
If a, b are the roots of the equation 2x2 – 3x – 5 = 0, then the equation whose roots are 5/a, 5/b is
A
x2 – 3x – 10 = 0
B
x2 + 3x – 10 = 0
C
x2 + 3x + 10 = 0
D
x2 – 3x + 10 = 0
Answer
x2 + 3x – 10 = 0
Explanation
Solution
β5α5 = x
5β5α = x1
x = a/b = x5
Replace x ®x5
Req. eqn. Ž 2(x5)2 – 3(x5)–5 = 0
x2 + 3x – 10 = 0