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f(2)=1f(-6)=65
We move all terms to the left:
f(2)-(1f(-6))=0
We add all the numbers together, and all the variables
f^2-(1f(-6))=0
We calculate terms in parentheses: -(1f(-6)), so:We get rid of parentheses
1f(-6)
We multiply parentheses
-6f
Back to the equation:
-(-6f)
f^2+6f=0
a = 1; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·1·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{36}=6$$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*1}=\frac{-12}{2} =-6 $$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*1}=\frac{0}{2} =0 $
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