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X2-(2b-1)x+(b2-b-20)=0 find the value of x

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X2-(2b-1)x+(b2-b-20)=0 find the value of x
  • 1 answers

Sia ? 6 years, 5 months ago

In the given quadratic equation, x2 - (2b - 1 ) x + (b2- b - 20) = 0

A= +1,  B= - (2b - 1 ),  C= (b2- b - 20)

{tex}x = {-B \pm \sqrt{B^2-4AC} \over 2A}{/tex}

{tex}x = \frac { ( 2 b - 1 ) \pm \sqrt { ( 2 b - 1 ) ^ { 2 } - 4 \left( b ^ { 2 } - b - 20 \right) } } { 2 }{/tex}
{tex}x = \frac { ( 2 b - 1 ) \pm 9 } { 2 }{/tex}
{tex}x = \frac { 2 b + 8 } { 2 } \quad and \quad x = \frac { 2 b - 10 } { 2 }{/tex}

{tex}\therefore x= b+4 \quad and \quad x=b-5{/tex}
 

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