2x*x=176

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Solution for 2x*x=176 equation:



2x*x=176
We move all terms to the left:
2x*x-(176)=0
Wy multiply elements
2x^2-176=0
a = 2; b = 0; c = -176;
Δ = b2-4ac
Δ = 02-4·2·(-176)
Δ = 1408
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:
$\sqrt{\Delta}=\sqrt{1408}=\sqrt{64*22}=\sqrt{64}*\sqrt{22}=8\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{22}}{2*2}=\frac{0-8\sqrt{22}}{4} =-\frac{8\sqrt{22}}{4} =-2\sqrt{22} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{22}}{2*2}=\frac{0+8\sqrt{22}}{4} =\frac{8\sqrt{22}}{4} =2\sqrt{22} $

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