Y=4x^2+1/2x+3

Simple and best practice solution for Y=4x^2+1/2x+3 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 Y=4x^2+1/2x+3 equation: 


x in (-oo:+oo)

Y = 4*x^2+(1/2)*x+3 // - 4*x^2+(1/2)*x+3

Y-(4*x^2)-((1/2)*x)-3 = 0

Y-4*x^2+(-1/2)*x-3 = 0

Y-4*x^2-1/2*x-3 = 0

DELTA = (-1/2)^2-(-4*4*(Y-3))

DELTA = 16*(Y-3)+1/4

16*(Y-3)+1/4 = 0

(4*16*(Y-3))/4+1/4 = 0

4*16*(Y-3)+1 = 0

64*Y-191 = 0

(64*Y-191)/4 = 0

(64*Y-191)/4 = 0 // * 4

64*Y-191 = 0

64*Y-191 = 0 // + 191

64*Y = 191 // : 64

Y = 191/64

DELTA = 0  <=>  t_1 = 191/64

x = 1/2/(-4*2) i Y = 191/64

x = -1/16 i Y = 191/64

( x = ((16*(Y-3)+1/4)^(1/2)+1/2)/(-4*2) or x = (1/2-(16*(Y-3)+1/4)^(1/2))/(-4*2) ) i Y > 191/64

( x = ((16*(Y-3)+1/4)^(1/2)+1/2)/(-8) or x = (1/2-(16*(Y-3)+1/4)^(1/2))/(-8) ) i Y > 191/64

Y-(191/64) > 0

Y-191/64 > 0

Y-191/64 > 0 // + 191/64

Y > 191/64

x in { -1/16, ((16*(Y-3)+1/4)^(1/2)+1/2)/(-8), (1/2-(16*(Y-3)+1/4)^(1/2))/(-8) }

See similar equations:

| t+t2/2+t2+t | | -4(2x-1)=12 | | -4/5-1 | | 1h=h | | 1-x/3=9 | | 9x-1=8x+5 | | 2(x)+17=163 | | 6z-4+9z=-23 | | 3/4(5x-2)-1/2(3x-7)=3/8x+5/9 | | 8x^2+10=5x^2+58 | | 5x+2y+2x+4y=72 | | -2.5+4= | | 4-x=20 | | (8v-1)(v-7)=0 | | 3g+4(-6+3g)=1-g | | -4=x/6 | | 7q(3q+14)=18 | | -2.5/6+3/6 | | a-3=-21/2 | | -2.5+3/6 | | y-9/6=7 | | 19-1/8 | | 2a^2-18x+36=0 | | 6x-2(x-2)=32 | | (X-10)+y+(x-11)=180 | | 0.5/6 | | 2a^2-18x-36=0 | | 10x-5=5+8x | | A^2-5a-30=0 | | 6x-2y+3x+2y=90 | | 6q+18= | | -7x-3x=-6(-2x-12)+8(10x-9) |

Equations solver categories