If a-b is 4 and a+b is 6 find 1) a²+b², 2) ab
Answers
Answer:
a - b = 4 , a + b = 6
(i) a² + b² (ii) ab
First we have to find values of a and b by using elimination method.
a - b = 4____(1)
a + b = 6____(2)
From (1) & (2) :
: ➙ a - b + a + b = 4 + 6
: ➙ 2a = 10
: ➙ a = 10/2
: ➙ a = 5
By substituting value of a in eq(1),
➠ a - b = 4
➠ 5 - b = 4
➠ - b = 4 - 5
➠ b = 1
Therefore, a = 5 and b = 1
(i) a² + b² :
(ii) ab :
(i) a² + b² = 26
(ii) ab = 5
Step-by-step explanation:
Answer:
{ \large{ \pmb{ \sf{★ Given... }}}}
★Given...
★Given...
a - b = 4 , a + b = 6
{ \large{ \pmb{ \sf{★Find... }}}}
★Find...
★Find...
(i) a² + b² (ii) ab
{ \large{ \pmb{ \sf{★Solution... }}}}
★Solution...
★Solution...
First we have to find values of a and b by using elimination method.
a - b = 4____(1)
a + b = 6____(2)
From (1) & (2) :
: ➙ a - b + a + b = 4 + 6
: ➙ 2a = 10
: ➙ a = 10/2
: ➙ a = 5
By substituting value of a in eq(1),
➠ a - b = 4
➠ 5 - b = 4
➠ - b = 4 - 5
➠ b = 1
Therefore, a = 5 and b = 1