The equations x^2 + px + q = 0 and x^2 + qx + p = 0 (p ≠ q) have a common root. What is the #cds

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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
The equations x² + px + q = 0 and x² + qx + p = 0 (p ≠ q) have a common root. CDS 1 2025 The equations x² + px + q = 0 and x² + qx + p = 0 (p ≠ q) have a common root. CDS 1 2025
If x2=px+q=0 and x2+qx+p=0 have a common root .Prove that either p=q or 1+p+q=0 ... If x2=px+q=0 and x2+qx+p=0 have a common root .Prove that either p=q or 1+p+q=0 ...
If two quadratic equations px^2 + px + 4 = 0 and x^2 + qx + q = 0 have a common root 2, then #cds If two quadratic equations px^2 + px + 4 = 0 and x^2 + qx + q = 0 have a common root 2, then #cds
4. If Eqⁿs x² + px +q =0 and x² + qx +p =0 have common root, prove that either p=q , or p+q+1=0. NEB 4. If Eqⁿs x² + px +q =0 and x² + qx +p =0 have common root, prove that either p=q , or p+q+1=0. NEB
Prove that, if the equations `x^2+px+qr=0` and `x^2+qx+pr=0[pneq,rne0]` have a common Prove that, if the equations `x^2+px+qr=0` and `x^2+qx+pr=0[pneq,rne0]` have a common
If p (≠ 0) and q (≠ 0) are the roots of the equation x^2 + px + q = 0, then what is p^2 + q^2 #cds If p (≠ 0) and q (≠ 0) are the roots of the equation x^2 + px + q = 0, then what is p^2 + q^2 #cds
If quad Eqⁿs x²+px+q=0 & x²+p If quad Eqⁿs x²+px+q=0 & x²+p'x+q'=0 have common root, show either (pq'–p'q)/(q–q') or (q–q')/(p'–p)