Write the quadratic polynomial having -1/4,1 …
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Posted by Shweta Choudhary 6 years, 11 months ago
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Naveen Sharma 6 years, 11 months ago
Ans. Let equation is ax2 + bx + c = 0, roots are {tex}-{1\over 4},1{/tex}.
We know that,
Sum of roots = {tex}-{b\over a}{/tex}
=> {tex}-{1\over 4} + 1 = -{b\over a}{/tex}
{tex}=> {3\over 4} = -{b\over a}{/tex}
=> b = -3 and a = 4
Also
Product of roots = {tex}c\over a{/tex}
=> {tex}-{1\over 4}\times 1 = {c\over a}{/tex}
{tex}=> -{1\over 4}= {c\over a}{/tex}
c = -1 and a = 4
Put Values of a,b,c in equation we get,
4x2 - 3x -1 = 0 Requried equation
1Thank You