If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6y^2+5=21
We move all terms to the left:
6y^2+5-(21)=0
We add all the numbers together, and all the variables
6y^2-16=0
a = 6; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·6·(-16)
Δ = 384
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{384}=\sqrt{64*6}=\sqrt{64}*\sqrt{6}=8\sqrt{6}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{6}}{2*6}=\frac{0-8\sqrt{6}}{12} =-\frac{8\sqrt{6}}{12} =-\frac{2\sqrt{6}}{3} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{6}}{2*6}=\frac{0+8\sqrt{6}}{12} =\frac{8\sqrt{6}}{12} =\frac{2\sqrt{6}}{3} $
| -5a+3+6a=10-14 | | 3x-(x+5)=5;x=5 | | -7+x2=137 | | 9n-24=4n+16 | | 2/7y-2=14 | | 3y-4=5-y | | 9h2+4=4 | | (2x+1)(x-3)-2x(x+7)=100 | | 3y+6=2y–3 | | -3x2+7=0 | | 4y+5=6y-1 | | (3x+22/5)+(x+10/4)=12 | | t4t+4=5−3t | | 5(2p+3)=35 | | 3-4y=-17 | | 7x=140/3 | | x^2-2√2x-30=0 | | 3x²=12+5x | | x/3-(x/7)=20 | | x^2-60*x+1500=0 | | (x+1/3)*1/4=1/2 | | 2x²+13x+16=0 | | 4t-2=t3 | | 55-5y=0 | | s^2+16+25=0 | | 4-2x/3=12 | | (x-9/7)+(9/7)=-x/2 | | 5e+10=20 | | x/6-x/8=16 | | 6(x-5)=3x+15 | | x/3-1=x-3/6 | | 23=7+8x |