y^2=7/10

Solution for y^2=7/10 equation:

y^2=7/10

We move all terms to the left:

y^2-(7/10)=0

We add all the numbers together, and all the variables

y^2-(+7/10)=0

We get rid of parentheses

y^2-7/10=0

We multiply all the terms by the denominator


y^2*10-7=0

Wy multiply elements

10y^2-7=0

a = 10; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·10·(-7)
Δ = 280
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{280}=\sqrt{4*70}=\sqrt{4}*\sqrt{70}=2\sqrt{70}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{70}}{2*10}=\frac{0-2\sqrt{70}}{20}
=-\frac{2\sqrt{70}}{20}
=-\frac{\sqrt{70}}{10}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{70}}{2*10}=\frac{0+2\sqrt{70}}{20}
=\frac{2\sqrt{70}}{20}
=\frac{\sqrt{70}}{10}
$