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-x^2/7+33=+5
We move all terms to the left:
-x^2/7+33-(+5)=0
We add all the numbers together, and all the variables
-x^2/7+33-5=0
We add all the numbers together, and all the variables
-x^2/7+28=0
We multiply all the terms by the denominator
-x^2+28*7=0
We add all the numbers together, and all the variables
-1x^2+196=0
a = -1; b = 0; c = +196;
Δ = b2-4ac
Δ = 02-4·(-1)·196
Δ = 784
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{784}=28$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-1}=\frac{-28}{-2} =+14 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-1}=\frac{28}{-2} =-14 $
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