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
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Evaluate the following using identities:
`(2x+ 1/x)^2`
Evaluate of the following:
(103)3
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] =
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
