Find the condition for ax^2 + bx + c = 0 to have roots ... – Algebra

Algebrahard · Past Paper

Find the condition for ax^2 + bx + c = 0 to have roots in ratio 3:4.

A12b^2 = 49ac

B49b^2 = 12ac

Cb^2 = ac

D7b^2 = 12ac

✓ Correct Answer: A — 12b^2 = 49ac

Using m:n ratio formula: mnb^2 = (m+n)^2ac → (3*4)b^2 = (3+4)^2ac → 12b^2 = 49ac.

Share this question