Advertisements
Advertisements
प्रश्न
If x2 + y2 = 29 and xy = 2, find the value of x + y.
उत्तर
We have:
\[\left( x + y \right)^2 = x^2 + 2xy + y^2 \]
\[ \Rightarrow \left( x + y \right) = \pm \sqrt{x^2 + 2xy + y^2}\]
\[ \Rightarrow \left( x + y \right) = \pm \sqrt{29 + 2 \times 2} ( \because x^2 + y^2 = 29 \text { and } xy = 2)\]
\[ \Rightarrow \left( x + y \right) = \pm \sqrt{29 + 4}\]
\[ \Rightarrow \left( x + y \right) = \pm \sqrt{33}\]
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
(a - 2b)3 - 512b3
If \[x^2 + \frac{1}{x^2} = 18,\] find the values of \[x + \frac{1}{x} \text { and } x - \frac{1}{x} .\]
Write the value of 303 + 203 − 503.
The expression (a − b)3 + (b − c)3 + (c −a)3 can be factorized as
The factors of x2 + 4y2 + 4y − 4xy − 2x − 8 are
If 3x = a + b + c, then the value of (x − a)3 + (x −b)3 + (x − c)3 − 3(x − a) (x − b) (x −c) is
Divide: x2 + 4xy + 4y2 by x + 2y
Find the average (A) of four quantities p, q, r and s. If A = 6, p = 3, q = 5 and r = 7; find the value of s.
Shiv works in a mall and gets paid ₹ 50 per hour. Last week he worked for 7 hours and this week he will work for x hours. Write an algebraic expression for the money paid to him for both the weeks.
Sonu and Raj have to collect different kinds of leaves for science project. They go to a park where Sonu collects 12 leaves and Raj collects x leaves. After some time Sonu loses 3 leaves and Raj collects 2x leaves. Write an algebraic expression to find the total number of leaves collected by both of them.
