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Question Number 41495 by Dawajan Nikmal last updated on 08/Aug/18

The equation π^x =−2x^2 +6x−9 has

Theequationπx=2x2+6x9has

Commented by tanmay.chaudhury50@gmail.com last updated on 09/Aug/18

no solution

nosolution

Commented by math khazana by abdo last updated on 10/Aug/18

first what is the question?

firstwhatisthequestion?

Commented by tanmay.chaudhury50@gmail.com last updated on 10/Aug/18

to find the value of x

tofindthevalueofx

Answered by tanmay.chaudhury50@gmail.com last updated on 09/Aug/18

Answered by MrW3 last updated on 09/Aug/18

RHS=−2x^2 +6x−9=−2(x^2 −3x+(9/4))+(9/2)−9=−2(x−(3/2))^2 −(9/2)≤−(9/2)  LHS=π^x >0  since LHS>0 and RHS≤−(9/2),  there is no solution for the eqn.

RHS=2x2+6x9=2(x23x+94)+929=2(x32)29292LHS=πx>0sinceLHS>0andRHS92,thereisnosolutionfortheeqn.

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