If two roots of the equation x^3-p x^2+q x-r=0,(r ≠ 0) are equal in magnitude but opposite in sig...

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If two roots of the equation x^3-p x^2+q x-r=0 are equal in magnitude but opposite in sign, then:... If two roots of the equation x^3-p x^2+q x-r=0 are equal in magnitude but opposite in sign, then:...
Show that pq = r if two roots of x^3 + p*x^2 + qx + r = 0 be equal and of opposite sign. Show that pq = r if two roots of x^3 + p*x^2 + qx + r = 0 be equal and of opposite sign.
if one root of the equation x^3+px^2+qx+r=0 is equal to the sum of the other two then ST p^3+8r=4pq if one root of the equation x^3+px^2+qx+r=0 is equal to the sum of the other two then ST p^3+8r=4pq
If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then | 11 | QUADRATIC EXP... If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then | 11 | QUADRATIC EXP...
If the sum of two roots of the equation `x^3-px^2 + q-r =0` is zero, then:(A) pq=r(B) pr=q (C)... If the sum of two roots of the equation `x^3-px^2 + q-r =0` is zero, then:(A) pq=r(B) pr=q (C)...
The sum of the two roots of x³ +px ² + qx+r = 0 is zero then pq = The sum of the two roots of x³ +px ² + qx+r = 0 is zero then pq =
If the roots of equation x^3 + px^2 + qx + r =0 are in AP, prove that 2p^3 - 9pq + 27r =0 If the roots of equation x^3 + px^2 + qx + r =0 are in AP, prove that 2p^3 - 9pq + 27r =0
The equation `x^3 + px^2-px-1=0` has three distinct real roots if `p in (-oo,lambda)uu(mu, o... The equation `x^3 + px^2-px-1=0` has three distinct real roots if `p in (-oo,lambda)uu(mu, o...