14.45=(5)(x)(1.7)x=

Solution for 14.45=(5)(x)(1.7)x= equation:

14.45=(5)(x)(1.7)x=

We move all terms to the left:

14.45-((5)(x)(1.7)x)=0


We calculate terms in parentheses: -(5x(1.7)x), so:

5x(1.7)x

We multiply parentheses

8.5x^2

Back to the equation:

-(8.5x^2)


We get rid of parentheses

-8.5x^2+14.45=0

a = -8.5; b = 0; c = +14.45;
Δ = b2-4ac
Δ = 02-4·(-8.5)·14.45
Δ = 491.3
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{491.3}}{2*-8.5}=\frac{0-\sqrt{491.3}}{-17}
=-\frac{\sqrt{}}{-17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{491.3}}{2*-8.5}=\frac{0+\sqrt{491.3}}{-17}
=\frac{\sqrt{}}{-17}
$