find solution of given algebric question.
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Hi Mate !
Solution :
A + B = 5 --------(1) [ Given ]
Also , A - B = 4 -------(2) [ Given ]
To find : A² + B² and A × B.
(1) A² + B² = ( a + b )² - ab
=> A² + B² = (5)² - 4
=> A² + B² = 25 - 4.
=> A² + B² = 21.
On Adding the equation (1) and equation (2) , we will get,
2A = 9
A = 9/2.
Substitute the value of A in equation (1) , we will get,
A + B = 5
9/2 + B = 5
9 + 2B = 10
2B = 10 - 9
B = 1/2.
Therefore,
A × B = 1/2 × 1/2 = 1/4.
Hope it helps ♥
By Rishi403.
BeBrainly.
Solution :
A + B = 5 --------(1) [ Given ]
Also , A - B = 4 -------(2) [ Given ]
To find : A² + B² and A × B.
(1) A² + B² = ( a + b )² - ab
=> A² + B² = (5)² - 4
=> A² + B² = 25 - 4.
=> A² + B² = 21.
On Adding the equation (1) and equation (2) , we will get,
2A = 9
A = 9/2.
Substitute the value of A in equation (1) , we will get,
A + B = 5
9/2 + B = 5
9 + 2B = 10
2B = 10 - 9
B = 1/2.
Therefore,
A × B = 1/2 × 1/2 = 1/4.
Hope it helps ♥
By Rishi403.
BeBrainly.
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