49x^2-12.25=0

Solution for 49x^2-12.25=0 equation:

49x^2-12.25=0

a = 49; b = 0; c = -12.25;
Δ = b2-4ac
Δ = 02-4·49·(-12.25)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-49}{2*49}=\frac{-49}{98}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+49}{2*49}=\frac{49}{98}
=1/2
$