If the equation `x^2 + qx +rp=0 and x^2 + rx + pq = 0` have a common root,, , then the other r

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Prove that if the equations `x^2+px+r=0` and `x^2+rx+p=0` have a common root then either p=r or , Prove that if the equations `x^2+px+r=0` and `x^2+rx+p=0` have a common root then either p=r or ,
If every pair from among the equations `x^2 + px + qr = 0, x^2 + qx +rp = 0` and `x^2+rx +pq = ... If every pair from among the equations `x^2 + px + qr = 0, x^2 + qx +rp = 0` and `x^2+rx +pq = ...
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if the quadratic equation x²+qx+pr=0 and x²+rx+pq=0 have a common root , prove p+q+r=0 if the quadratic equation x²+qx+pr=0 and x²+rx+pq=0 have a common root , prove p+q+r=0
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JEE MAINS 2018 If every pair from among the equations `x^2+px+qr=0,x^2+qx+rp=0` and `x^2+rx+pq... JEE MAINS 2018 If every pair from among the equations `x^2+px+qr=0,x^2+qx+rp=0` and `x^2+rx+pq...
Prove that equations `(q-r)x^2 + (r-p)x + p-q = 0` and `(r-p)x^2+(p-q)x+q-r=0` have a common ro... Prove that equations `(q-r)x^2 + (r-p)x + p-q = 0` and `(r-p)x^2+(p-q)x+q-r=0` have a common ro...
Show that the equation x^2+px+q=0 and x^2+qx+p=0 have a common root ,if either p=q or p+q+1=0 Show that the equation x^2+px+q=0 and x^2+qx+p=0 have a common root ,if either p=q or p+q+1=0