If a 2 − 7 a + 1 = 0 and a = ≠ 0, Find : a + 1 a - Mathematics

If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :

`"a" + (1)/"a"`

बेरीज

Dividing the given equation by a, we get:

`"a"^2/"a" - (7"a")/"a" + 1/"a" = 0, "a" - 7 + 1/"a" = 0`

⇒ `"a" + (1)/"a"` = 7.

shaalaa.com

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

पाठ 4: Expansions - Exercise 4.1

पाठ 4 Expansions
Exercise 4.1 | Q 15.1

Evaluate the following using identities:

(1.5x²− 0.3y²) (1.5x²+ 0.3y²)

Find the following product:

Find the following product:

(2ab − 3b − 2c) (4a² + 9b² +4c² + 6 ab − 6 bc + 4ca)

If a − b = 5 and ab = 12, find the value of a² + b²

If the volume of a cuboid is 3x² − 27, then its possible dimensions are

If a + b + c = 9 and ab + bc + ca =23, then a³+ b³+ c³ − 3abc =

If \[\frac{a}{b} + \frac{b}{a} = 1\] then a³ + b³ =

If a - b = 7 and ab = 18; find a + b.

Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`

The value of 249² – 248² is ______.