Advertisements
Advertisements
प्रश्न
If a + b = 7 and ab = 10; find a - b.
Advertisements
उत्तर
a + b = 7 and ab = 10
⇒ a (7 − a) = 10
⇒ 7a − a2 = 10
⇒ a2 − 7a + 10 = 0
⇒ a2 − 5a − 2a + 10 = 0
⇒ a (a − 5) − 2(a − 5) = 0
⇒ (a − 2) (a − 5) = 0
⇒ a = 5, 2
⇒ b = 2, 5
When a = 5, b = 2
⇒ a − b = 3
When a = 2,b = 5
⇒ a − b = −3
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 8) (x – 10)
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Simplify the following expressions:
`(x + y - 2z)^2 - x^2 - y^2 - 3z^2 +4xy`
Evaluate of the following:
933 − 1073
If `x^4 + 1/x^4 = 194, "find" x^3 + 1/x^3`
If x = −2 and y = 1, by using an identity find the value of the following
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
If p2 + q2 + r2 = 82 and pq + qr + pr = 18; find p + q + r.
Simplify:
(2x + y)(4x2 - 2xy + y2)
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
