If x - y = 2, xy = 24, then the value of (x2 + y2) is?
A. 25
B. 36
C. 63
D. 52
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Given,}} \cr & x - y = 2{\text{ and }}xy = 24 \cr & {\text{By squaring}} \cr & \Rightarrow {x^2} + {y^2} - 2xy = 4 \cr & \Rightarrow {x^2} + {y^2} - 2 \times 24 = 4 \cr & \Rightarrow {x^2} + {y^2} = 4 + 48 \cr & \Rightarrow {x^2} + {y^2} = 52 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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