7x^2-43.75=0

Solution for 7x^2-43.75=0 equation:

7x^2-43.75=0

a = 7; b = 0; c = -43.75;
Δ = b2-4ac
Δ = 02-4·7·(-43.75)
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*7}=\frac{-35}{14}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+35}{2*7}=\frac{35}{14}
=2+1/2
$