If it's not what You are looking for type in the equation solver your own equation and let us solve it.
X^2+21X+-441/4=0
We add all the numbers together, and all the variables
X^2+21X-441/4=0
We multiply all the terms by the denominator
X^2*4+21X*4-441=0
Wy multiply elements
4X^2+84X-441=0
a = 4; b = 84; c = -441;
Δ = b2-4ac
Δ = 842-4·4·(-441)
Δ = 14112
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{14112}=\sqrt{7056*2}=\sqrt{7056}*\sqrt{2}=84\sqrt{2}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-84\sqrt{2}}{2*4}=\frac{-84-84\sqrt{2}}{8} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+84\sqrt{2}}{2*4}=\frac{-84+84\sqrt{2}}{8} $
| (y+31)/3=11 | | z=2(z-39) | | (18x+6)=2x+14 | | 24-3y=7y | | B-1/2=2b-3/5 | | Y=-10x+460 | | w+40=2w | | (x+11)/3=5 | | x3+$15.50=$20.75 | | 35+5.75x=9.25x | | 13q-8-5q=5q-(7-3q) | | 4-2/3m=1/9 | | (x-6)(x)=27 | | 0=12x^2-78x+93.5 | | x3+15.50=20.75 | | x/5+0.5=1 | | -10x+3=-2x-19 | | 1.3h+.25=19.75 | | -10x-3=-2x+19 | | 10x-3=-2x-19 | | x$2.10+$5=$49.10 | | -10x-3=-2x-19 | | -10x-3=2x-19 | | 4f-2f+5=2(f-2)+9 | | (X)(4+x)=60 | | u/2-13/2=u-45 | | 7•10^n=700 | | u-13=2(u-45) | | 1)2n2-9n+11=0 | | 7a+7=5a-11 | | 8(3g-2)≤=12(2g+1) | | 18/72=13/x*x |