20000=500*2^2x

Simple and best practice solution for 20000=500*2^2x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 20000=500*2^2x equation:



20000=500*2^2x
We move all terms to the left:
20000-(500*2^2x)=0
We get rid of parentheses
-500*2^2x+20000=0
Wy multiply elements
-1000x^2+20000=0
a = -1000; b = 0; c = +20000;
Δ = b2-4ac
Δ = 02-4·(-1000)·20000
Δ = 80000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{80000000}=\sqrt{16000000*5}=\sqrt{16000000}*\sqrt{5}=4000\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4000\sqrt{5}}{2*-1000}=\frac{0-4000\sqrt{5}}{-2000} =-\frac{4000\sqrt{5}}{-2000} =-\frac{2\sqrt{5}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000\sqrt{5}}{2*-1000}=\frac{0+4000\sqrt{5}}{-2000} =\frac{4000\sqrt{5}}{-2000} =\frac{2\sqrt{5}}{-1} $

You can always share this solution

See similar equations:

| -231=7(6a+3) | | 5(180-x)=90-x | | 59-(2c+4)=4c+5+c | | 40=m(5) | | 35x+25x=40x | | 6(x+3)=8x+8 | | 266=78-x | | | | | | 2x^2+4=-5x+12x2+4=?5x+1 | | 2(2x-9)=21 | | 23=2(3r+1)+7(-5-32r | | -3x-34=56-21x | | 13x-126=140-x | | -4(x+4)=4x-16 | | 8^(-x+22)=256^x | | -5x-206=60+9x | | 9/15y+3/21=5/15y-14/21 | | 2x+11=-4+7x | | -28+15x=10+13x | | 5y^2–7y+6=0 | | K(x)=-7x+-1 | | 2x+6(x-1)=54 | | (22)+(x+14)=x+10 | | (5x)-18-4=-36 | | 5y2–7y+6=0 | | K(x)=-7x+0 | | | | | | 80*0.70=20*0.80r | | 4p=5p-5 | | 10x+92=26x | | 10x^2+3=10 | | 80*0.70r=20*0.80r |

Equations solver categories