_9. Which of the following rational algebraic equation is transformable into a quadratic equation?
A.w+1/2 - w+2/4=7
B.2/p² + 3/p+1=5
C.2q-1/3 + 1/2=3q/4
D.3/m-2 + 4/m+2=7/m​


Sagot :

Answer:

B

Step-by-step explanation:

SOLUTION:

LCD: (p) (p+1)

Multiply each term by LCD, then simplify:

(p)(p+1) [\frac{2}{p} + \frac{3}{p+1} =5

p

2

+

p+1

3

=5 ]

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.

hope it helps you ☺️