h*h+4h-3h=2h*2h

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Solution for h*h+4h-3h=2h*2h equation:



h*h+4h-3h=2h*2h
We move all terms to the left:
h*h+4h-3h-(2h*2h)=0
We add all the numbers together, and all the variables
h*h+4h-3h-(+2h*2h)=0
We add all the numbers together, and all the variables
h+h*h-(+2h*2h)=0
Wy multiply elements
h^2+h-(+2h*2h)=0
We get rid of parentheses
h^2+h-2h*2h=0
Wy multiply elements
h^2-4h^2+h=0
We add all the numbers together, and all the variables
-3h^2+h=0
a = -3; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-3)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-3}=\frac{-2}{-6} =1/3 $
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-3}=\frac{0}{-6} =0 $

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