The-equation-pi-x-2x-2-6x-9-has-

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

The equation π^{x} = - 2 x^{2} + 6 x - 9 has

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

n o s o l u t i o n

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

f i r s t w h a t i s t h e q u e s t i o n ?

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

t o f i n d t h e v a l u e o f x

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

Answered by MrW3 last updated on 09/Aug/18

R H S = - 2 x^{2} + 6 x - 9 = - 2 (x^{2} - 3 x + \frac{9}{4}) + \frac{9}{2} - 9 = - 2 {(x - \frac{3}{2})}^{2} - \frac{9}{2} ⩽ - \frac{9}{2}

L H S = π^{x} > 0

s i n c e L H S > 0 a n d R H S ⩽ - \frac{9}{2},

t h e r e i s n o s o l u t i o n f o r t h e e q n .

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