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7x^2-121=3x^2
We move all terms to the left:
7x^2-121-(3x^2)=0
We add all the numbers together, and all the variables
4x^2-121=0
a = 4; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·4·(-121)
Δ = 1936
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{1936}=44$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44}{2*4}=\frac{-44}{8} =-5+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44}{2*4}=\frac{44}{8} =5+1/2 $
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