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7x=x2-5
We move all terms to the left:
7x-(x2-5)=0
We add all the numbers together, and all the variables
-(+x^2-5)+7x=0
We get rid of parentheses
-x^2+7x+5=0
We add all the numbers together, and all the variables
-1x^2+7x+5=0
a = -1; b = 7; c = +5;
Δ = b2-4ac
Δ = 72-4·(-1)·5
Δ = 69
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{69}}{2*-1}=\frac{-7-\sqrt{69}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{69}}{2*-1}=\frac{-7+\sqrt{69}}{-2} $
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