Math, asked by patelmokshahmt, 7 months ago

plzz solve this question if anyone knows...​

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Answered by TakenName
19

Integral Solution

  • A solution which is an integer. (integer + -al)

So let's solve the problem.

We can change the form of \sf{y^2+\frac{1}{y^2} } with a suitable identity.

On squaring \sf{y+\frac{1}{y} }

\sf{(\sf{y+\frac{1}{y} })^2=y^2+2\times(y)\times(\frac{1}{y} )+(\frac{1}{y} )^2}

\sf{(\sf{y+\frac{1}{y} })^2=y^2+2+\frac{1}{y^2}

Transposing the Sides

\sf{(\sf{y+\frac{1}{y} })^2-2=y^2+\frac{1}{y^2}

Now the equation becomes

\sf{-2(y+\frac{1}{y})^2+4+7(y+\frac{1}{y})=9 }

\sf{-2(y+\frac{1}{y})^2+7(y+\frac{1}{y})-5=0 }

\sf{2(y+\frac{1}{y})^2-7(y+\frac{1}{y})+5=0 }

Using the factorization method

\sf{2t^2-7t+5=0}

2t             -5

t               -1

The zeros are \sf{y+\frac{1}{y}=\frac{5}{2} or \sf{y+\frac{1}{y}=1}

The two integral zeros come from the first equation.

\sf\therefore{There \ are \ two \ integral \ solutions.

Answered by naina1348
3

Step-by-step explanation:

In this way u can solve.....

after solving u can get the answer

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