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49x^2-3=13
We move all terms to the left:
49x^2-3-(13)=0
We add all the numbers together, and all the variables
49x^2-16=0
a = 49; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·49·(-16)
Δ = 3136
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{3136}=56$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56}{2*49}=\frac{-56}{98} =-4/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56}{2*49}=\frac{56}{98} =4/7 $
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