1.4x^2=315

Solution for 1.4x^2=315 equation:

1.4x^2=315

We move all terms to the left:

1.4x^2-(315)=0

a = 1.4; b = 0; c = -315;
Δ = b2-4ac
Δ = 02-4·1.4·(-315)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42}{2*1.4}=\frac{-42}{2.8}
=-15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42}{2*1.4}=\frac{42}{2.8}
=15
$