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Grade 11Algebra

Solve for x
1 – 2.5 x = exp(-0.5x)
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Question image for Solve for x 1 – 2.5 x = exp(-0.5x) …............
Profile image of pra
7 Years agoGrade 11
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3 Answers

Profile image of Aditya Gupta
ApprovedApproved Tutor Answer7 Years ago
obviously the given answer x=3.14 is wrong bcoz the LHS would be negative at this value while RHS would be positive.
put y= – x/2
so given eqn becomes 
1+5y= e^y
draw graphs of z=e^y and z= 1+5y. and note their intersections.
obviously they intersect at y=0 or x=0.
further, there shall be one more solution of y=2.66 or x= – 5.32
kindly approve :)
Profile image of pra
7 Years ago
I think for equation,
1 – 0.25 x = exp(-0.5x)
x = 3.14

Profile image of pra
7 Years ago
Plz draw the graph for 1 – 0.25 x = exp(-0.5x).