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16x*9x=100
We move all terms to the left:
16x*9x-(100)=0
Wy multiply elements
144x^2-100=0
a = 144; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·144·(-100)
Δ = 57600
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{57600}=240x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*144}=\frac{-240}{288} =-5/6x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*144}=\frac{240}{288} =5/6
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