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Furqan Ali

4X² - 13x + 9. Solve for x

4X² - 13x + 9

Posted in Algebra, asked by Furqan Ali, 6 years ago. 2498 hits.

1

Given equation is,4x^2-13x+9=0

                          we can rewrite the given equation ,4x^2-9x-4x+9=0

                                 we can factorize it now, 4x(x-1)-9(x-1)=0

                                                                 (4x-9)(x-1)=0

                                                                  4x-9=0,x-1=0

                                                                  x=9/4,x=1

                                                                          , 

Venkat Nagendra Thati
Venkat Nagendra Thati - 6 years ago
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4x2-13x+9

= 4x2-4x-9x+9         (a=4, b=-13, c=9 so axb=4x9=36 therefore factors of 36 such that sum =-13 are -4 and -9, so split the middle term and follow)

= 4x(x-1)-9(x-1)

= (x-1)(4x-9)

x-1=0 or 4x-9=0

x=1 or 4x=9

x=1 or x=9/4

Gurudas Kadam
Gurudas Kadam - 6 years ago
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SOL---   Given equation is,4x^2-13x+9=0   { here the product is 9*4 =36 and sum is -13 , therefore factors are -9 and -4 because (-9) *( -4) = 36 ,  ( -9) +(-4) =(-13  ) }
        4x2-13x+9 =0
       4x2-4x-9x+9 =0
       

 4x(x-1)-9(x-1) =0

   (x-1)(4x-9) =0

  x-1=0 or 4x-9=0

x=1 or 4x=9

x=1 or x=9/4

amit helekar
amit helekar - 6 years ago
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