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169x^2=144
We move all terms to the left:
169x^2-(144)=0
a = 169; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·169·(-144)
Δ = 97344
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{97344}=312$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-312}{2*169}=\frac{-312}{338} =-12/13 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+312}{2*169}=\frac{312}{338} =12/13 $
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