Math, asked by Anonymous, 1 year ago

Solve the quadratic equation with completing the square method.
Xsquare+X-20=0

Answers

Answered by yachi2429
1

Take -20 to the RHS and then add the square of coefficient of x × 1/2 then solve

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Answered by Acekiller
1

very easy

first shift the -20 right hand side you will get

 {x}^{2}  + x = 20

then find the third term

third term =

 {( \frac{1}{2}  +coeficient \: of \: x) }^{2}

you will get

 {( \frac{1}{2} + 1) }^{2}

solve it you will get the third term as

 \frac{1}{4}

now add the third term on both sides you will get

 {x}^{2}  + x +  \frac{1}{4 }  = 20 +  \frac{1}{4}

now solve you will get

  {(x +  \frac{1}{2}) }^{2}  =  \frac{81}{4}

then take square roots on both side you get

x +  \frac{1}{2}  =   +  - \frac{9}{2}

so solve further

you will get

x =  4 \:  \:  \: x =  - 4

hope you get it

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