4y^2-3y+5=0

Simple and best practice solution for 4y^2-3y+5=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 4y^2-3y+5=0 equation:


Simplifying
4y2 + -3y + 5 = 0

Reorder the terms:
5 + -3y + 4y2 = 0

Solving
5 + -3y + 4y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.25 + -0.75y + y2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.75y + -1.25 + y2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.75y + y2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.75y + y2 = 0 + -1.25
-0.75y + y2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.75y + y2 = -1.25

The y term is -0.75y.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75y + 0.140625 + y2 = -1.25 + 0.140625

Reorder the terms:
0.140625 + -0.75y + y2 = -1.25 + 0.140625

Combine like terms: -1.25 + 0.140625 = -1.109375
0.140625 + -0.75y + y2 = -1.109375

Factor a perfect square on the left side:
(y + -0.375)(y + -0.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 11q+3q-14q+3q+q=16 | | -3.5x-6.5=10x | | 10q-8q-q=18 | | 24+8z+-24=7z+1 | | 9x-72=46x+4 | | 5y(8y+13)=6(13y+7) | | 12n-n-9n=-12 | | 2x-8+6x=9x-1 | | 10x+5=7.5x+25 | | 10r+14r-8r-11r=-15 | | 3x+9+8x-16=180 | | 2x+5=5x-22 | | 6x+4y=20 | | 16q+2q-18q+3q-q=16 | | (4a+5)(a+7)=0 | | 21=48-36x | | 18-2/5x=-22 | | -2x-28=7(x+5) | | -20=4-4x-6x | | 8x+8+4x=5x+20+5x | | y=3x^2+6x-17 | | 84-4b^2=0 | | (13.5+13.25)*X=35.67 | | -6(u-9)=-4u+44 | | (2x^4/3)^3 | | 3p^5-2/18pm^5 | | 21-12x-1=24-4x+3x | | 13.5+13.25*x=35.67 | | x/x=42/12 | | 3y+37=-2(y-6) | | 123=3x^2 | | 6x/2−8x/1=2 |

Equations solver categories