Math, asked by aarshiaverma2005, 8 months ago

PLEASE SOLVE THIS FAST
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Answered by abhi569
12

Answer:

1 / 4

Step-by-step explanation:

       First eq. is 9x^2 - 15x + 6 = 0 and second is ( 3x - 5/2 )^2 = k ⇒ ( 3x - 5/2 )^2 - k = 0.

  As both are identical, both are equal.

⇒ 9x^2 - 15x + 6 = ( 3x - 5/2 )^2 - k

⇒ 9k^2 - 15x + 6 = [ 9x^2 + 25/4 - 2(5/23)x ] - k

⇒ 9k^2 - 15x + 6 = [ 9x^2 + 25/4 - 15x ] - k

⇒ 9k^2 - 15x + 6 = 9x^2 + 25/4 - 15x - k

⇒ 6 = 25/4 - k

⇒ k = 25/4 - 6

⇒ k = ( 25 - 24 ) / 4

⇒ k = 1 / 4

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