Question

x^5 ×x^3 ÷x^-2 =x^10

Answer 1

$\huge\underline\orange{Answer:-}$

x−2

+

x−5

x−4

=

3

10

⇒

(x−3)(x−5)

(x−2)(x−5)+(x−3)(x−4)

=

3

10

⇒

x

2

−8x+15

x

2

−7x+10+x

2

−7x+12

=

3

10

⇒

x

2

−8x+15

2x

2

−14x+22

=

3

10

⇒3(2x

2

−14x+22)=10(x

2

−8x+15)

⇒6x

2

−42x+66=10x

2

−80x+150

⇒10x

2

−80x+150−6x

2

+42x−66=0

⇒4x

2

−38x+84=0

⇒2x

2

−19x+42=0

⇒x=

2×2

19±

19

2

−4×2×42

⇒x=

4

19±

25

⇒x=

4

19±5

⇒x=

4

19+5

,

4

19−5

∴x=

4

24

,

4

14

∴x=6,

2

7

Answer 2

Step-by-step explanation:

x⁵×x³÷x²=x¹⁰

5+3+2=10

10=10

1 isthe answer of your question