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
Write the following cube in expanded form:
(2a – 3b)3
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
Factorise the following:
27y3 + 125z3
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
Simplify of the following:
(x+3)3 + (x−3)3
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
If \[a^2 + \frac{1}{a^2} = 102\] , find the value of \[a - \frac{1}{a}\].
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
