If 4x² - 12x + k is a perfect square, find the
numerical value of k.
(ICSE)
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If 4x² - 12x + k is a perfect square, find the
numerical value of k.
(ICSE)
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Answer:
According to given condtn. :- 4x2 - 12x + k = (a - b)2 = a 2 - 2ab + b?
Here,
a? = 4
[ Squaring botg sides. ]
a = v4 = 2
2ab = -12
2(2)b = -12
b = -12 / 4
b = 3
Finally,
• b? = k
(3)2 = K
k = 9
Hence, The required answer is :- Numerical value of k = 9