Algebrahard · Past Paper
If roots of ax^2 + bx + c = 0 are in ratio m:n, then:
Amnb^2 = ac(m+n)^2
Bacb^2 = mn(m+n)^2
Cb^2 = ac(m+n)
Dmnb = ac(m+n)
✓ Correct Answer: A — mnb^2 = ac(m+n)^2
Let roots be mk, nk. mk+nk = -b/a, mknk^2 = c/a. k = -b/(a(m+n)). Substitute into product equation.
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