one root of the equation ax²+ bx+c=0 is twice of the other then let us show that, 2b² = 9ac #maths

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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.
If one root of the equation ax² + bx + c =0 is the square of the other, then b³ + ac² + a²c =3abc If one root of the equation ax² + bx + c =0 is the square of the other, then b³ + ac² + a²c =3abc
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The condition for one root of the quadratic equation ax² + bx + c = 0, to be twice the other, is a) The condition for one root of the quadratic equation ax² + bx + c = 0, to be twice the other, is a)
#SSC If one root of the quadratic equation ax²+bx+c=0 is half of the other root,show that b²=9ac/2​. #SSC If one root of the quadratic equation ax²+bx+c=0 is half of the other root,show that b²=9ac/2​.
If one root of the equation \( a x^{2}+b x+c=0 \) is the square of the other, then \( a(c-b)^{3}... If one root of the equation \( a x^{2}+b x+c=0 \) is the square of the other, then \( a(c-b)^{3}...