F(x)=36x^2-49

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Solution for F(x)=36x^2-49 equation:



(F)=36F^2-49
We move all terms to the left:
(F)-(36F^2-49)=0
We get rid of parentheses
-36F^2+F+49=0
a = -36; b = 1; c = +49;
Δ = b2-4ac
Δ = 12-4·(-36)·49
Δ = 7057
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{7057}}{2*-36}=\frac{-1-\sqrt{7057}}{-72} $
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{7057}}{2*-36}=\frac{-1+\sqrt{7057}}{-72} $

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