What is the value of p

Mathematics

1 answer:

Serjik [45]3 years ago

8 0

Answer:

p = 2

Step-by-step explanation:

p + 4/p - 4

multiplying through by p,

p×p + 4/p ×p - 4×p

p² + 4 - 4p = 0

p² - 4p + 4 = 0

factorizing,

p(p - 2) -2(p - 2) =0

(p -2)(p -2) =0

p-2 =0

p=2

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======================================

<h3><u>Converting the equation into Slope-Intercept Form:</u></h3>

<u /> $8x + 4y = 12\\\rule{150}{0.5}\\8x - 8x + 4y = 12-8x\\\\4y = 12-8x\\\\4y = -8x + 12 \leftarrow \text{I switched the order on the right side.}\\\\\frac{4y=-8x+12}{4}\\\\\boxed{y = -2x + 3}$