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If one root of the polynomial p(x)=5x²-26x+k is reciprocal of the other,then the value of k isImmersive Reader |
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Answer» Answer: 5 Step-by-step explanation: p(x)=5x^2-26x+k Let the roots be a,b given that ONE ROOT is RECIPROCAL of other i.e a=1/b ab=1[product of roots=1] p(x) will be in form px^2+qx+r sum of the roots=-q/p product of roots=r/p So we can equate to product of roots k/5=1 k=5 The value of k=5
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