Solve for the roots in the following equation. Hint: Factor both quadratic expressions.(x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0
Question
Answer:
Solve for x:(13 x - 5) (14 x - 36) = 0
Split into two equations:
13 x - 5 = 0 or 14 x - 36 = 0
Add 5 to both sides:
13 x = 5 or 14 x - 36 = 0
Divide both sides by 13:
x = 5/13 or 14 x - 36 = 0
Factor constant terms from the left hand side:
x = 5/13 or 2 (7 x - 18) = 0
Divide both sides by 2:
x = 5/13 or 7 x - 18 = 0
Add 18 to both sides:
x = 5/13 or 7 x = 18
Divide both sides by 7:
Answer: x = 5/13 or x = 18/7
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11 months ago
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