Which of the following rational algebraic equations is transformable to quadratic equation?
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Which of the following rational algebraic equations is transformable to quadratic equation?
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Answer: b. 2/p + 3/(p+1) = 5
SOLUTION:
LCD: (p) (p+1)
Multiply each term by LCD, then simplify:
(p)(p+1) [ ]
2p + 2 + 3p = (5p) (p+1)
2p + 3p + 2 = 5p² + 5p
5p² + 5p - 5p + 2 = 0
5p² + 2 = 0 ⇒ the equation is a second degree polynomial
Note: The rest of the given items are linear equation, a firs-degree equation.
Step-by-step explanation:
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