`If the equation 4x^2 - 2 (k + 1) + (k + 1) = 0 Find the value of k.
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Answer:
Step-by-step explanation:
to find the value of k 4x² - 2(k + 1) + (k + 1) = 0
first we divide both side by 4
⇒ x² - 2/4(k + 1) + 1/4(k + 1) = 0
x² = 1/2(k + 1) - 1/4(k + 1)
x² = k/2 + 1/2 - k/4 - 1/4
x² = k/2 - k/4 + 1/2 - 1/4
x² = k/4 + 1/4
⇒ x² - 1/4 = k/4
then we multiply both side by 4
⇒ 4(x² - 1/4) = k
k = 4(x² - 1/4)
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