Question

8x / 5-x = 25
please answer full and fast .​

Answer 1

Answer:

125/33 I think is the answer

Answer 2

Answer:

STEP 1

Simplify x/5

Equation at the end of step

1

:

x

((8 • —) • x) - 25

5

STEP 2

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

25 25 • 5

25 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

8x2 - (25 • 5) 8x2 - 125

—————————————— = —————————

5 5

Trying to factor as a Difference of Squares:

2.3 Factoring: 8x2 - 125

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

8x2 - 125

—————————

5