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176=5x*x
We move all terms to the left:
176-(5x*x)=0
We add all the numbers together, and all the variables
-(+5x*x)+176=0
We get rid of parentheses
-5x*x+176=0
Wy multiply elements
-5x^2+176=0
a = -5; b = 0; c = +176;
Δ = b2-4ac
Δ = 02-4·(-5)·176
Δ = 3520
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3520}=\sqrt{64*55}=\sqrt{64}*\sqrt{55}=8\sqrt{55}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{55}}{2*-5}=\frac{0-8\sqrt{55}}{-10} =-\frac{8\sqrt{55}}{-10} =-\frac{4\sqrt{55}}{-5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{55}}{2*-5}=\frac{0+8\sqrt{55}}{-10} =\frac{8\sqrt{55}}{-10} =\frac{4\sqrt{55}}{-5} $
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