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10x*5x-176=0
Wy multiply elements
50x^2-176=0
a = 50; b = 0; c = -176;
Δ = b2-4ac
Δ = 02-4·50·(-176)
Δ = 35200
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{35200}=\sqrt{1600*22}=\sqrt{1600}*\sqrt{22}=40\sqrt{22}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{22}}{2*50}=\frac{0-40\sqrt{22}}{100} =-\frac{40\sqrt{22}}{100} =-\frac{2\sqrt{22}}{5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{22}}{2*50}=\frac{0+40\sqrt{22}}{100} =\frac{40\sqrt{22}}{100} =\frac{2\sqrt{22}}{5} $
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