Question

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Answer 1

Answer:

x = (-47/14)

Step-by-step explanation:

We have,

(x² - 3x - 28)/(x² - 49) = (3/17)

Let's take x² - 3x - 28

x² - 3x - 28

ax² + bx + c

where a = 1, b = (-3), c = (-28)

Using splitting the middle term method,

Sum = b = (-3)

Product = (a × c) = (-28)

∴ Factors are (-7) and 4

So,

x² - 7x + 4x - 28

x(x - 7) + 4(x - 7)

(x + 4)(x - 7)

Also,

We know that,

a² - b² = (a + b)(a - b)

Now,

x² - 49 = x² - 7²

So,

x² - 49 = (x + 7)(x - 7)

Hence, we get our problem as,

(x + 4)(x - 7)/(x + 7)(x - 7) = (3/17)

Cancelling the common factor (x - 7)

We get,

(x + 4)/(x + 7) = (3/17)

Cross multiplying we get,

17(x + 4) = 3(x + 7)

17x + 68 = 3x + 21

17x - 3x = 21 - 68

14x = (-47)

x = (-47/14)

Hence,

x = (-47/14)

We can also verify faster using a calculator.

As it is difficult to understand and also confusing if I type I would like to also put up the hand written version of the solution. Pardon me for the inconvenience.

Hope it helped and believing you understood it........All the best

Answer 2

Answer:

IM ALSO GOOD

MY PREBOARD WAS NICE GONE