6.25=0.5*x*(2.5^2)

Solution for 6.25=0.5*x*(2.5^2) equation:

6.25=0.5x(2.5^2)

We move all terms to the left:

6.25-(0.5x(2.5^2))=0


We calculate terms in parentheses: -(0.5x(2.5^2)), so:

0.5x(2.5^2)

We multiply parentheses

0x^2

We add all the numbers together, and all the variables

x^2

Back to the equation:

-(x^2)


We add all the numbers together, and all the variables

-1x^2+6.25=0

a = -1; b = 0; c = +6.25;
Δ = b2-4ac
Δ = 02-4·(-1)·6.25
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-5}{2*-1}=\frac{-5}{-2}
=2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+5}{2*-1}=\frac{5}{-2}
=-2+1/2
$