Question

the sum of two numbers is 37/45 while their product is 2/15. which is greater of the two numbers?​

Answer 1

(19/20) is the homogeneous mixture

Answer 2

Two numbers are 2/9 and 3/5. The number 3/5 is greater of the two numbers.

Step-by-step explanation:

Let two numbers are x and y.

The sum of two numbers is 37/45 while their product is 2/15.

$x+y=\frac{37}{45}$       .... (1)

$xy=\frac{2}{15}$         .... (2)

On solving (1) and (2) we get

$x(\frac{37}{45}-x)=\frac{2}{15}$

$\frac{37}{45}x-x^2=\frac{2}{15}$

$\frac{37}{45}x-x^2-\frac{2}{15}=0$

Multiply both sides by -45.

$x^2-\frac{37}{45}x+\frac{2}{15}=0$

$45x^2-37x+6=0$

Splitting the middle term we

$45x^2-27x-10x+6=0$

$9x(5x-3)-2(5x-3)=0$

$(5x-3)(9x-2)=0$

Using zero product property we get

$x=\frac{3}{5}, \frac{2}{9}$

If x=3/5 then y=2/9 and x=2/9 then y=3/5.

#Learn more

Solve the quadratic equation by splitting middle term

2x^2-58x-341=0.

https://brainly.in/question/10381340