Math, asked by priyaa1310, 11 months ago

PLS help me guys...............

​hint:use quadratic formula for this

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Answers

Answered by hukam0685
1

Step-by-step explanation:

 {p}^{2}  {x}^{2}   + ( {p}^{2}  -  {q}^{2} )x -  {q}^{2}  = 0 \\  \\

Compare the equation with standard Quadratic equation

a {x}^{2}  + bx + c = 0 \\  \\ here \\  \\ a =  {p}^{2}  \\  \\ b =  ( {p}^{2}  -  {q}^{2} ) \\  \\ c =  -  {q}^{2}  \\  \\ quadratic \: formula x_{1,2}=  \frac{ - b ±  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\x_{1,2}  =  \frac{ (-  {p}^{2} +  {q}^{2} )  ±  \sqrt{ ({{p}^{2}  -   {q}^{2}})^{2}   + 4 {p}^{2}  {q}^{2} } }{2 {p}^{2} } \\  \\ x_{1,2}=  \frac{ -  {p}^{2}  +  {q}^{2}  ± \sqrt{ {p}^{4}  +  {q}^{4}  - 2 {p}^{2}  {q}^{2} +  4 {p}^{2}  {q}^{2}}  }{2 {p}^{2} }  \\  \\x_{1,2}=\frac{ -  {p}^{2}  +  {q}^{2}  ±  \sqrt{ {p}^{4}  +  {q}^{4}   +  2 {p}^{2}  {q}^{2}}  }{2 {p}^{2} }  \\  \\ x_{1,2}= \frac{ -  {p}^{2}  +  {q}^{2}  ±  \sqrt{  {( {p}^{2} +  {q}^{2}  )}^{2}   }}{2 {p}^{2} }  \\  \\  x_{1,2} = \frac{-  {p}^{2}  +  {q}^{2} ±  {p}^{2}  +  {q}^{2}}{2 {q}^{2} }  \\  \\ x_1 =  \frac{2 {q}^{2} }{ 2{q}^{2} }  \\  \\  x_1= 1 \\  \\ x_2 =  -  \frac{ {p}^{2} }{ {q}^{2} }

Hope it helps you

Answered by sidwarrior123
1

Answer:

ok

okStep-by-step explanation:

SOLUTION

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