0.7x^2=437.50

Solution for 0.7x^2=437.50 equation:

0.7x^2=437.50

We move all terms to the left:

0.7x^2-(437.50)=0

We add all the numbers together, and all the variables

0.7x^2-(437.5)=0

We add all the numbers together, and all the variables

0.7x^2-437.5=0

a = 0.7; b = 0; c = -437.5;
Δ = b2-4ac
Δ = 02-4·0.7·(-437.5)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-35}{2*0.7}=\frac{-35}{1.4}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+35}{2*0.7}=\frac{35}{1.4}
=25
$