Question

if x+25/x=10 then value of x2+50/x2 will be

Answer 1

Answer:

The value of $\frac{x^{2}+50}{x^{2}}$ is 7.48 .

Step-by-step explanation:

As given

$\frac{x + 25}{x} = 10$

Simplify the above

x + 25 = 10x

10x -x = 25

9x = 25

$x = \frac{25}{9}$

As

$= \frac{x^{2}+50}{x^{2}}$

Put the value of x in the above

$= \frac{(\frac{25}{9})^{2}+50}{(\frac{25}{9})^{2}}$

Simplify the above

$=\frac{\frac{625+50\times 81}{81}}{\frac{625}{81}}$

$=\frac{\frac{625+4050}{81}}{\frac{625}{81}}$

$=\frac{\frac{4675}{81}}{\frac{625}{81}}$

$= \frac{4675}{81}$

Therefore the value of $\frac{x^{2}+50}{x^{2}}$ is 7.48 .

Answer 2

Answer:27

Step-by-step explanation:the question is if x+(25/x) =10 then find x^2+(50/x^2)

Take x +25/x=10

LCM (x^2+25)/x =10

x^2+25=10x

x^2-10x+25 =0

Solving by middle term splitting

x^2-5x-5x +25=0

x(x-5) -5 (x-5) =0

(x-5)(x-5) =0

Hence , x= 5

Put the value of x in x^2+(50/x^2)

(5)^2 + (50/(5)^2

=25 + (50/25)

= 25+2

= 27 ANSWER