Math, asked by yash371645, 6 months ago

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Answered by Anonymous
14

Given:-

▫ ky² - 9y + 1 = 0

Find:-

▫ Value of k

Solution:-

we, know that

 \huge{\underline{\boxed{\sf{b}^{2} - 4ac = 0}}}

where,

  • a = k
  • b = -9
  • c = 1

So,

\mapsto\sf{b}^{2} - 4ac = 0 \\  \\

\mapsto\sf{(- 9)}^{2} - 4(k)(1) = 0 \\  \\

\mapsto\sf81 - 4k(1) = 0 \\  \\

\mapsto\sf81 - 4k = 0 \\  \\

\mapsto\sf - 4k =  - 81\\  \\

\mapsto\sf k =   \dfrac{- 81}{ - 4}\\  \\

\mapsto\sf k =   \dfrac{81}{4}\\  \\

Hence, if k = 81/4 then, the given eq. becomes a perfect square

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