49x^2+11=155

Solution for 49x^2+11=155 equation:

49x^2+11=155

We move all terms to the left:

49x^2+11-(155)=0

We add all the numbers together, and all the variables

49x^2-144=0

a = 49; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·49·(-144)
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168}{2*49}=\frac{-168}{98}
=-1+5/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168}{2*49}=\frac{168}{98}
=1+5/7
$