Question

a^3-b^3/(a-b)^3=73/3 what is a/b ik this is in biology but its impossible to get an answer in math someone please just help me solve this

Answer 1

Answer:

Explanation:

From the question,

$\frac{a^{3} - b^{3} }{(a - b)^{3} }$ = $\frac{73}{3}$

Let the equation be equal to zero.

$\frac{a^{3} - b^{3} }{(a - b)^{3} }$ - $\frac{73}{3}$ = 0

$\frac{(a - b) *(a^{2} + ab + b^{2}) }{(a - b)^{3} }$  - $\frac{73}{3}$ = 0

⇒ $\frac{(a^{2} + ab + b^{2}) }{(a - b)^{2} }$  - $\frac{73}{3}$ = 0

Find the LCM,

$\frac{(a^{2} + ab + b^{2} )* 3 -73*(a - b)^{2} }{3*(a - b)^{2} }$ = 0

$\frac{-70a^{2} + 149ab -70b^{2}}{3*(a^{2} -2ab + b^{2}) }$ = 0

Factorizing the numerator and denominator gives,

$\frac{(10b - 7a)*(10a - 7b)}{3*(a - b)^{2} }$ = 0

Multiply through by the denominator to have,

$\frac{(10b - 7a)*(10a - 7b)}{3*(a - b)^{2} }$ × 3*$(a - b)^{2}$= 0 × 3$(a - b)^{2}$

⇒   (10b - 7a)*(10a - 7b) = 0

∴  -7a + 10b = 0 or -7b + 10a =

These gives the equation of a straight line; y = mx + b

Solving these equations graphically, we have;

For -7b + 10a = 0,

     m = 1.429

     a-intercept = 0.00000

     b-intercept =  -0.00000

For -7a + 10b = 0,

    m = 0.700

     a-intercept =  -0.00000

     b-intercept =  0.00000