2y=5y(-21/2)

Simple and best practice solution for 2y=5y(-21/2) 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 2y=5y(-21/2) equation:



2y=5y(-21/2)
We move all terms to the left:
2y-(5y(-21/2))=0
We multiply all the terms by the denominator
2y*2))-(5y(-21=0
Wy multiply elements
4y^2-21=0
a = 4; b = 0; c = -21;
Δ = b2-4ac
Δ = 02-4·4·(-21)
Δ = 336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{21}}{2*4}=\frac{0-4\sqrt{21}}{8} =-\frac{4\sqrt{21}}{8} =-\frac{\sqrt{21}}{2} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{21}}{2*4}=\frac{0+4\sqrt{21}}{8} =\frac{4\sqrt{21}}{8} =\frac{\sqrt{21}}{2} $

See similar equations:

| 144/24=x/7 | | 2y=5y-(21/2) | | -21=3(v+5)+3v | | 22=8+v | | 1/x=9.25x10^-3x | | 12x-100=7x-5 | | x-(1/5)=(1/15) | | 3(u-8)-5u=-36 | | 5x+2(-2x+36)=78 | | 4(y-2)+2y=30-2(y+7) | | 1/2x-15=100 | | 3/1/2x=-11 | | 1/2x-15=00 | | 2(2x+3)=66 | | 3x-(2/3)=(4/3) | | 1/4x+16=0 | | 13x-17=x-1+4x | | 7/2x=-11 | | 8^2x=4096 | | -4v=-5v+12 | | 220-y=52 | | -13=y/4+-9 | | -13 = y/4+ -9 | | 162=57-u | | 30x^-26x+4=0 | | 40+1j=2(4j-13) | | 15k+20=14k | | x-0.2x+.06x=530 | | 25x^-100=0 | | 15y+2=62 | | 7m=9(m+) | | -3w+11=8w+51 |

Equations solver categories