Consider the graph of the quadratic function y = 3x2 – 3x – 6. What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6
2 answers:
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Answer:
see explanation
Step-by-step explanation:
Using the laws of logarithms
• log x - log y = log()
• x = n ⇔ x =
Hence
(
) = 2, hence
= x² ( multiply both sides by 4 )
8x - 3 = 4x² ← rearrange into standard form
Subtract 8x - 3 from both sides
4x² - 8x + 3 = 0 ← in standard form
(2x - 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =