75.40=3.14(x*x)6

Solution for 75.40=3.14(x*x)6 equation:

75.40=3.14(x*x)6

We move all terms to the left:

75.40-(3.14(x*x)6)=0

We add all the numbers together, and all the variables

-(3.14(+x*x)6)+75.40=0

We add all the numbers together, and all the variables

-(3.14(+x*x)6)+75.4=0


We calculate terms in parentheses: -(3.14(+x*x)6), so:

3.14(+x*x)6

We multiply parentheses

18.84x^2

Back to the equation:

-(18.84x^2)


We get rid of parentheses

-18.84x^2+75.4=0

a = -18.84; b = 0; c = +75.4;
Δ = b2-4ac
Δ = 02-4·(-18.84)·75.4
Δ = 5682.144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{5682.144}}{2*-18.84}=\frac{0-\sqrt{5682.144}}{-37.68}
=-\frac{\sqrt{}}{-37.68}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{5682.144}}{2*-18.84}=\frac{0+\sqrt{5682.144}}{-37.68}
=\frac{\sqrt{}}{-37.68}
$