If x = {√(p+2q) + √(p-2q)}/{√(p+2q) - √(p-2q)}, then show that qx^2 - px + q = 0.

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Show that if p, q, r and s be real numbers and pr=2(q+s), then at least one of the equations x^2+... Show that if p, q, r and s be real numbers and pr=2(q+s), then at least one of the equations x^2+...
In a triangle PQR, N is a point on PR such that QN⊥PR. If PN . NR=QN^2, prove that ∠PQR=90^∘. (W) In a triangle PQR, N is a point on PR such that QN⊥PR. If PN . NR=QN^2, prove that ∠PQR=90^∘. (W)