28+9=21x2

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Solution for 28+9=21x2 equation:



28+9=21x^2
We move all terms to the left:
28+9-(21x^2)=0
We add all the numbers together, and all the variables
-21x^2+37=0
a = -21; b = 0; c = +37;
Δ = b2-4ac
Δ = 02-4·(-21)·37
Δ = 3108
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:
$\sqrt{\Delta}=\sqrt{3108}=\sqrt{4*777}=\sqrt{4}*\sqrt{777}=2\sqrt{777}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{777}}{2*-21}=\frac{0-2\sqrt{777}}{-42} =-\frac{2\sqrt{777}}{-42} =-\frac{\sqrt{777}}{-21} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{777}}{2*-21}=\frac{0+2\sqrt{777}}{-42} =\frac{2\sqrt{777}}{-42} =\frac{\sqrt{777}}{-21} $

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