8.1=3(b)(1.5)b=

Solution for 8.1=3(b)(1.5)b= equation:

8.1=3(b)(1.5)b=

We move all terms to the left:

8.1-(3(b)(1.5)b)=0


We calculate terms in parentheses: -(3b(1.5)b), so:

3b(1.5)b

We multiply parentheses

4.5b^2

Back to the equation:

-(4.5b^2)


We get rid of parentheses

-4.5b^2+8.1=0

a = -4.5; b = 0; c = +8.1;
Δ = b2-4ac
Δ = 02-4·(-4.5)·8.1
Δ = 145.8
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{145.8}}{2*-4.5}=\frac{0-\sqrt{145.8}}{-9}
=-\frac{\sqrt{}}{-9}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{145.8}}{2*-4.5}=\frac{0+\sqrt{145.8}}{-9}
=\frac{\sqrt{}}{-9}
$