x^2+9x/2-5/2=0

Simple and best practice solution for x^2+9x/2-5/2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2+9x/2-5/2=0 equation: 



x^2+9x/2-5/2=0

We multiply all the terms by the denominator


x^2*2+9x-5=0

Wy multiply elements

2x^2+9x-5=0

a = 2; b = 9; c = -5;
Δ = b2-4ac
Δ = 92-4·2·(-5)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-11}{2*2}=\frac{-20}{4}
=-5
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+11}{2*2}=\frac{2}{4}
=1/2
$

See similar equations:

| 2(30+5)=4(a+4) | | 52+6x=2000 | | 0.05x+15=30 | | ^3(y+3)=2y+3 | | .y+3=4y-18 | | 0.05x+10=20 | | -9x-34=10 | | 58+6x=2050 | | -1,2(3+2x)=3,6 | | 4y=2(7-5)-2 | | f(3)=3.2+9 | | -5(4-2x)=-30 | | Y/2+y/3=1 | | .4x-3=x+9 | | p(p+3)=0 | | 3/2+(-k)+(-2)k=-5/2 | | -0,3x+1,2=-0,2x+0,8 | | 36-9z=3(z-4) | | 11.6+2y=6y+2 | | 4y+9/2=1 | | 4w+10=8w+26 | | 8v+5=3v+45 | | 10/5-y=2 | | 8+2u=-2 | | Z+y=140 | | (5x−5)=(3x+13) | | Y+z+40=180 | | Z+y+40=180 | | (x-2)(x-3)=6+(x-5)(3+x) | | 12x-35=4x+13 | | 6=42/3y+1 | | 2(2g-8)=18 |

Equations solver categories