(4)/(49)x^2-1=0

Solution for (4)/(49)x^2-1=0 equation:

(4)/(49)x^2-1=0


Domain of the equation: 49x^2!=0

x^2!=0/49

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-1*49x^2+4=0

Wy multiply elements

-49x^2+4=0

a = -49; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-49)·4
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*-49}=\frac{-28}{-98}
=2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*-49}=\frac{28}{-98}
=-2/7
$