Advertisements
Advertisements
प्रश्न
If x + y = 1 and xy = -12; find:
x - y
बेरीज
Advertisements
उत्तर
(x + y)2 = (1)2
⇒ x2 + y2 + 2xy
= 1
⇒ x2 + y2
= 1 - 2(-12)
= 1 + 24
= 25
Now, (x - y)2
= x2 + y2 - 2xy
= 25 - 2(-12)
= 25 + 24
= 49
⇒ x - y
= ±7.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Simplify the following:
0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24
If a + b = 10 and ab = 21, find the value of a3 + b3
Find the value of 64x3 − 125z3, if 4x − 5z = 16 and xz = 12.
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
The product (x2−1) (x4 + x2 + 1) is equal to
Find the square of 2a + b.
Use identities to evaluate : (502)2
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Simplify by using formula :
(x + y - 3) (x + y + 3)
