x2+3x/2=35

Solution for x2+3x/2=35 equation:

x2+3x/2=35

We move all terms to the left:

x2+3x/2-(35)=0

We add all the numbers together, and all the variables

x^2+3x/2-35=0

We multiply all the terms by the denominator


x^2*2+3x-35*2=0

We add all the numbers together, and all the variables

x^2*2+3x-70=0

Wy multiply elements

2x^2+3x-70=0

a = 2; b = 3; c = -70;
Δ = b2-4ac
Δ = 32-4·2·(-70)
Δ = 569
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{-(3)-\sqrt{569}}{2*2}=\frac{-3-\sqrt{569}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{569}}{2*2}=\frac{-3+\sqrt{569}}{4}
$