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If the roots of the equation (a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0 are equal, prove that a/b=c/d...
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If the roots of the equation (a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0 are equal, prove that a/b=c/d.
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If the roots of the quadratic equation(x – a) (x – b) + (x – b) (x – c) + (x – c) (x – a) = 0 are...
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If the roots of the equation (a-b)x^2+(b-c)x+(c-a)=0 are equal prove that 2a=b+c
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If the roots of the equation (c^2-ab)x^2-2(a^2-bc) x+b^2-ac=0 are equal, prove that either a=0...
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If the roots of (c^2-ab) x^2-2(a^2-bc)x+(b^2-ac)=0 are equal, show that a=0 or (a^3+b^3+c^3 )=3abc.
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If the roots of lx^2+nx+n = 0 are in ratio p:q then prove that root(p/q)+ root(q/p)+ root (n/l) = 0
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If the roots of the equation (b-c)x2+(c-a)x+a-b=0 are equal then prove that 2b = a+c
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If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then prove that 2b=a+c.
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ROOTS OF QUADRATIC EQUATION If α and β are the roots of the equation find equations whose roots are...
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If the roots of the equations ax^2+2bx+c=0 and bx^2-2(√ac)x+b=0 are simultaneously real, then...
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If the roots of the equation (a^2+b^2)x^2-2(ac+bd)x+(c^2+d^2)=0 are equal, prove that a/b=c/d...
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If p and q are the roots of the equations x^2+px+q=0 then
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Q24 If the roots of the equation (a-b)x²+(b-c)x+(c-a)=0 are equal then prove that 2a=b+c
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If the roots of the equation x2+kx+9=0 are real and equal then find k
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