Form a quadratic equation whose roo...
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Check here step-by-step solution of 'Form a quadratic equation whose roots are the numbers 1/10−7√2 and 1/10+6√2' question at Instasolv!
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Form a quadratic equation whose roots are the numbers ( frac{1}{10-sqrt{72}} ) and ( frac{1}{10+6 sqrt{2}} )

JEE/Engineering Exams
Maths
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Form a quadratic equation whose roots are the numbers 1/10−7√2 and 1/10+6√2
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The quadreatic equation is
[
begin{array}{l}x^{2}-left(frac{1}{10-sqrt{72}}+frac{1}{10+6 sqrt{2}}right) x+frac{1}{(10-sqrt{72})(10+6 sqrt{2})}=0 Rightarrow x^{2}-left(frac{1}{10-6 sqrt{2}}+frac{1}{10+6 sqrt{2}}right) x+frac{1}{(10-6 sqrt{2})(10+6 sqrt{2})}=0 Rightarrow x^{2}-left(frac{10+6 sqrt{2}+10-6 sqrt{2}}{100-72}right) x+frac{1}{100-72}=0 Rightarrow x^{2}-left(frac{20}{28}right) x+frac{1}{28}=0 Rightarrow 28 x^{2}-20 x+1=0end{array}
]

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