g*g=25/49

Solution for g*g=25/49 equation:

g*g=25/49

We move all terms to the left:

g*g-(25/49)=0

We add all the numbers together, and all the variables

g*g-(+25/49)=0

Wy multiply elements

g^2-(+25/49)=0

We get rid of parentheses

g^2-25/49=0

We multiply all the terms by the denominator


g^2*49-25=0

Wy multiply elements

49g^2-25=0

a = 49; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·49·(-25)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70}{2*49}=\frac{-70}{98}
=-5/7
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70}{2*49}=\frac{70}{98}
=5/7
$