Question
If a + b = 5 and a - b = 3, then the value of (a2 + b2) is?
Answer: Option A
$$\eqalign{
& a + b = 5{\text{ }} \cr
& \Leftrightarrow {a^2} + {b^2} + 2ab = 25\,.....(i) \cr
& a - b = 3 \cr
& \Leftrightarrow {a^2} + {b^2} - 2ab = 9\,.....(ii) \cr
& {\text{From equation (i) and (ii)}} \cr
& \Leftrightarrow {\text{2}}\left( {{a^2} + {b^2}} \right) = 34 \cr
& \Leftrightarrow {a^2} + {b^2} = 17 \cr} $$
Was this answer helpful ?
$$\eqalign{
& a + b = 5{\text{ }} \cr
& \Leftrightarrow {a^2} + {b^2} + 2ab = 25\,.....(i) \cr
& a - b = 3 \cr
& \Leftrightarrow {a^2} + {b^2} - 2ab = 9\,.....(ii) \cr
& {\text{From equation (i) and (ii)}} \cr
& \Leftrightarrow {\text{2}}\left( {{a^2} + {b^2}} \right) = 34 \cr
& \Leftrightarrow {a^2} + {b^2} = 17 \cr} $$
Was this answer helpful ?
More Questions on This Topic :
Question 1. If **Hidden Equation** is?....
Question 4. If **Hidden Equation** is equal to?
Question 5. If **Hidden Equation** ....
Question 9. The value of **Hidden Equation** is?
Question 10. If **Hidden Equation** equal to?
Latest Videos
Latest Test Papers
Submit Solution