Question

1/4-p -1/2+p=1/4 solve the problem above​

Answer 1

14−p−12+p=14

1−p+4+−1p+2=14

Multiply all terms by (-p+4)(p+2) and cancel:

1(p+2)+−1(−p+4)=1(−p+4)(p+2)4

2p−2=−14p2+12p+2(Simplify both sides of the equation)

2p−2−(−14p2+12p+2)=−14p2+12p+2−(−14p2+12p+2)(Subtract (-1)/4p^2+1/2p+2 from both sides)

14p2+32p−4=0

For this equation: a=0.25, b=1.5, c=-4

0.25p2+1.5p+−4=0

p=−b±√b2−4ac2a(Use quadratic formula with a=0.25, b=1.5, c=-4)

p=−(1.5)±√(1.5)2−4(0.25)(−4)2(0.25)

p=−1.5±√6.250.5

p=2,−8

Check answers. (Plug them in to make sure they work.)

Answer 2

14−p−12+p=14

1−p+4+−1p+2=14

Multiply all terms by (-p+4)(p+2) and cancel:

1(p+2)+−1(−p+4)=1(−p+4)(p+2)4

2p−2=−14p2+12p+2(Simplify both sides of the equation)

2p−2−(−14p2+12p+2)=−14p2+12p+2−(−14p2+12p+2)(Subtract (-1)/4p^2+1/2p+2 from both sides)

14p2+32p−4=0

For this equation: a=0.25, b=1.5, c=-4

0.25p2+1.5p+−4=0

p=−b±√b2−4ac2a(Use quadratic formula with a=0.25, b=1.5, c=-4)

p=−(1.5)±√(1.5)2−4(0.25)(−4)2(0.25)

p=−1.5±√6.250.5

p=2,−8

Check answers. (Plug them in to make sure they work.)

p=2(Works in original equation)

p=−8(Works in original equation)

Answer: