0=7x^2-28

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Solution for 0=7x^2-28 equation:



0=7x^2-28
We move all terms to the left:
0-(7x^2-28)=0
We add all the numbers together, and all the variables
-(7x^2-28)=0
We get rid of parentheses
-7x^2+28=0
a = -7; b = 0; c = +28;
Δ = b2-4ac
Δ = 02-4·(-7)·28
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-7}=\frac{-28}{-14} =+2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-7}=\frac{28}{-14} =-2 $

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