49b^2+5=9

Solution for 49b^2+5=9 equation:

49b^2+5=9

We move all terms to the left:

49b^2+5-(9)=0

We add all the numbers together, and all the variables

49b^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:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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