5(x^2+y^2)+4(x-y)
find its answer
x+y=8,xy=15/4
Answers
Answered by
1
Here's your Answer:
621/2
Step-by-step explanation:
( x - y )^2 = ( x + y )^2 - 4xy
= 8^2 - 4 * 15/4
= 64 - 15
( x - y )^2 = 49
x - y = 7 ---( 1 )
now,
= 5(x^2+y^2) + 4(x-y)
= 5[(x+y)^2 -2xy] + 4(x-y)
= 5 [(8^2) - (2 * 15/4)] + 4 * 7 (according to equation (3))
= 5 [ 64 - 15/2 ] + 28
= 5 * 113/2 + 28
= 565/2 + 28
= [565 + 56]/2
= 621/2
hope it helps you
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