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Use the quadratic formula to solve. Express your answer in simplest form. 25, k, squared, plus, 36, k, plus, 9, equals, 6, k 25k 2 36k 9= 6k

Sagot :

Answer:

k = -.6

Step-by-step explanation:

25k² + 36k + 9 = 6k

25k² + 36k - 6k + 9 = 0

25k² + 30k + 9 = 0

quadratic formula is:

x = -b ± √b² - 4ac / 2a

when:

ax² + bx + c = 0

as per given:

25k² + 30k + 9 = 0

a = 25, b = 30, c = 9

i.e.

x = -30 ± √(30)² - 4(25)(9) / 2(25)

  = -30 ± √900 - 900 / 50

  = -30 ± √0 / 50

  = -30 + 0 / 50, -30 - 0 / 50

  = -30/50, -30/50

  = -0.6

thus, k = -.6

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