Question

5x-6/12-x-5/8=1 hfhfhfhfhfhfhfhfh

Answer 1

Ответ:

Обяснение

120x-12-24x-15/24=1    (120x-24x=98x ; 98/24=4)

4x=1+12+15

4x=28

x=7

 

Answer 2

To solve the equation, let's simplify the expression first:

5x - 6/(12 - x) - 5/8 = 1

To simplify further, let's find a common denominator for the fractions:

5x - [6(8) / (8(12 - x))] - [(5(12 - x)) / (8(12 - x))] = 1

5x - (48 / (96 - 8x)) - (60 - 5x) / (96 - 8x) = 1

Now, let's combine like terms in the numerator:

5x - [48 + (60 - 5x)] / (96 - 8x) = 1

Simplify the numerator:

5x - (48 + 60 - 5x) / (96 - 8x) = 1

Combine like terms again:

5x - (108 - 5x) / (96 - 8x) = 1

Now, let's simplify the denominator:

5x - (108 - 5x) / (96 - 8x) = 1

Multiply both sides of the equation by (96 - 8x) to eliminate the denominator:

(96 - 8x)(5x) - (96 - 8x)(108 - 5x) / (96 - 8x) = 1(96 - 8x)

Simplify:

480x - 8x^2 - (10368 - 108x - 480x + 40x^2) = 96 - 8x

Simplify further:

480x - 8x^2 - 10368 + 108x + 480x - 40x^2 = 96 - 8x

Rearrange the terms:

-8x^2 + 40x^2 + 480x - 108x - 480x + 8x + 8x - 96 + 10368 = 0

Combine like terms:

32x^2 - 100x + 10368 = 0

This is a quadratic equation. To solve it, you can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For this equation, a = 32, b = -100, and c = 10368. Plugging in these values:

x = (-(-100) ± √((-100)^2 - 4(32)(10368))) / (2(32))

Simplifying further:

x = (100 ± √(10000 - 1327104)) / 64

x = (100 ± √(-1317104)) / 64

Since the discriminant (b^2 - 4ac) is negative, the quadratic equation has no real solutions.