4.9=(60.062+4*h*h)/8h

Solution for 4.9=(60.062+4*h*h)/8h equation:

4.9=(60.062+4h*h)/8h

We move all terms to the left:

4.9-((60.062+4h*h)/8h)=0


Domain of the equation: 8h)!=0

h!=0/1

h!=0

h∈R


We add all the numbers together, and all the variables

-((4h*h+60.062)/8h)+4.9=0

We multiply all the terms by the denominator


-((4h*h+60.062)+(4.9)*8h)=0


We calculate terms in parentheses: -((4h*h+60.062)+(4.9)*8h), so:

(4h*h+60.062)+(4.9)*8h

We multiply parentheses

(4h*h+60.062)+39.2h

We get rid of parentheses

4h*h+39.2h+60.062

We add all the numbers together, and all the variables

39.2h+4h*h+60.062

Wy multiply elements

4h^2+39.2h+60.062

Back to the equation:

-(4h^2+39.2h+60.062)


We get rid of parentheses

-4h^2-39.2h-60.062=0

a = -4; b = -39.2; c = -60.062;
Δ = b2-4ac
Δ = -39.22-4·(-4)·(-60.062)
Δ = 575.648
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39.2)-\sqrt{575.648}}{2*-4}=\frac{39.2-\sqrt{575.648}}{-8}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39.2)+\sqrt{575.648}}{2*-4}=\frac{39.2+\sqrt{575.648}}{-8}
$