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Preeti Dabral 3 years ago
Here, a = 6 - √35
{tex}\begin{aligned} & \Rightarrow 1 / a=1 /(6-\sqrt{35}) \\ & \Rightarrow 1 / a=(6+\sqrt{35}) /[(6+\sqrt{35})(6-\sqrt{35})] \end{aligned}{/tex}
[By multiplying (6 + √35) in both numerator & denominator]
{tex}\begin{aligned} & \Rightarrow 1 / a=(6+\sqrt{35}) /\left(6^2-(\sqrt{35})^2\right) \\ & \Rightarrow 1 / a=(6+\sqrt{35})(36-35) \\ & \Rightarrow 1 / a=(6+\sqrt{35}) / 1 \\ & \Rightarrow 1 / a=6+\sqrt{35} \end{aligned}{/tex}
Now we have to find value of a² + 1/a²
{tex}\begin{aligned} & \Rightarrow a^2+1 / a^2=(a)^2+(1 / a)^2 \\ & \Rightarrow(6-\sqrt{ } 35)^2+(6+\sqrt{ } 35)^2 \\ & \Rightarrow\left(6^2-2 \times 6 \sqrt{35}+35\right)+\left(6^2+2 \times 6 \sqrt{35}+35\right) \\ & \Rightarrow 36-12 \sqrt{ } 35+35+36+12 \sqrt{ } 35+35 \\ & \Rightarrow 72+70 \\ & \Rightarrow 142 \end{aligned}{/tex}
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A header is a separate bit of text at the top of a printed page. A header might be the title of the novel you're reading, which is repeated on each page of the book.
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Ayush Gujjar 3 years ago
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