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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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