Find the condition that one root of `ax^2 + bx +c=0` shall be n times the other

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Find the condition that one root of the quadratic equation ax2+bx+c=0 shall be n times the other. Find the condition that one root of the quadratic equation ax2+bx+c=0 shall be n times the other.
Find the condition that one root of \( a x^{2}+b x+c=0 \) shall be \( n \) times the other. Find the condition that one root of \( a x^{2}+b x+c=0 \) shall be \( n \) times the other.
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if one root is n times the other root of the quadratic equation `ax^2-bx+c=0` then if one root is n times the other root of the quadratic equation `ax^2-bx+c=0` then
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10.b) If one root of equation ax² + bx + c = 0 be four times other root show that 4b² = 25ac. NEB 12 10.b) If one root of equation ax² + bx + c = 0 be four times other root show that 4b² = 25ac. NEB 12
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