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X2-3X-1=9-6X
We move all terms to the left:
X2-3X-1-(9-6X)=0
We add all the numbers together, and all the variables
X2-3X-(-6X+9)-1=0
We add all the numbers together, and all the variables
X^2-3X-(-6X+9)-1=0
We get rid of parentheses
X^2-3X+6X-9-1=0
We add all the numbers together, and all the variables
X^2+3X-10=0
a = 1; b = 3; c = -10;
Δ = b2-4ac
Δ = 32-4·1·(-10)
Δ = 49
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{49}=7$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-7}{2*1}=\frac{-10}{2} =-5 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+7}{2*1}=\frac{4}{2} =2 $
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