Advertisements
Advertisements
प्रश्न
If x + y = 9, xy = 20
find: x - y
बेरीज
Advertisements
उत्तर
x + y = 9, xy = 20
We know (a + b)
= a2 + 2ab + b2
∴ (x + y)2
= 81 x2 + y2 + 2xy
⇒ x2 + y2
= 81 - 2(120)
= 41
We also know (a - b)2
= a2 - 2ab + b2
⇒ (x - y)2
= x2 - 2xy + y2
⇒ (x - y)2
= 41 - 2(20)
= 1
⇒ x - y
= ±1.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Evaluate:
(0.2)3 − (0.3)3 + (0.1)3
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
Evaluate: 20.8 × 19.2
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
If `x + (1)/x = 3`; find `x^4 + (1)/x^4`
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
