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(x*x)+7x=12
We move all terms to the left:
(x*x)+7x-(12)=0
We add all the numbers together, and all the variables
(+x*x)+7x-12=0
We add all the numbers together, and all the variables
7x+(+x*x)-12=0
We get rid of parentheses
7x+x*x-12=0
Wy multiply elements
x^2+7x-12=0
a = 1; b = 7; c = -12;
Δ = b2-4ac
Δ = 72-4·1·(-12)
Δ = 97
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{97}}{2*1}=\frac{-7-\sqrt{97}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{97}}{2*1}=\frac{-7+\sqrt{97}}{2} $
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