49x2=196

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Solution for 49x2=196 equation:



49x^2=196
We move all terms to the left:
49x^2-(196)=0
a = 49; b = 0; c = -196;
Δ = b2-4ac
Δ = 02-4·49·(-196)
Δ = 38416
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{38416}=196$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-196}{2*49}=\frac{-196}{98} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+196}{2*49}=\frac{196}{98} =2 $

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