A numbers is greater than 6 times its reciprocal by 5/2. what will be the number
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Answered by
1
let the number be x then given that x - 6/x = 5/2
solving for x we get x = 4 or x = -3/2
Answered by
0
let the number be x.
so, it's reciprocal will be 1/x.
Now,
x = 6(1/x)+ 5/2
x = 6/x + 5/2
x = 12+5x/ 2x
2x² = 12+5x
2x²-5x-12=0
2x²-8x+3x-12=0
2x(x-4)+3(x-4)=0
(2x+3) (x-4) = 0
x=(-3/2) or x=4.
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so, it's reciprocal will be 1/x.
Now,
x = 6(1/x)+ 5/2
x = 6/x + 5/2
x = 12+5x/ 2x
2x² = 12+5x
2x²-5x-12=0
2x²-8x+3x-12=0
2x(x-4)+3(x-4)=0
(2x+3) (x-4) = 0
x=(-3/2) or x=4.
mark as brainliest, if it helped.
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