x^2=49/50

Solution for x^2=49/50 equation:

x^2=49/50

We move all terms to the left:

x^2-(49/50)=0

We add all the numbers together, and all the variables

x^2-(+49/50)=0

We get rid of parentheses

x^2-49/50=0

We multiply all the terms by the denominator


x^2*50-49=0

Wy multiply elements

50x^2-49=0

a = 50; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·50·(-49)
Δ = 9800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9800}=\sqrt{4900*2}=\sqrt{4900}*\sqrt{2}=70\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70\sqrt{2}}{2*50}=\frac{0-70\sqrt{2}}{100}
=-\frac{70\sqrt{2}}{100}
=-\frac{7\sqrt{2}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70\sqrt{2}}{2*50}=\frac{0+70\sqrt{2}}{100}
=\frac{70\sqrt{2}}{100}
=\frac{7\sqrt{2}}{10}
$