If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5x^2-4=11
We move all terms to the left:
5x^2-4-(11)=0
We add all the numbers together, and all the variables
5x^2-15=0
a = 5; b = 0; c = -15;
Δ = b2-4ac
Δ = 02-4·5·(-15)
Δ = 300
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{300}=\sqrt{100*3}=\sqrt{100}*\sqrt{3}=10\sqrt{3}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{3}}{2*5}=\frac{0-10\sqrt{3}}{10} =-\frac{10\sqrt{3}}{10} =-\sqrt{3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{3}}{2*5}=\frac{0+10\sqrt{3}}{10} =\frac{10\sqrt{3}}{10} =\sqrt{3} $
| 4+4n-3=16+1+6n-4n | | 2x^2+60x-21600=0 | | 6+4n=-2+5n | | 5n-7=5+2n | | 203/2=-7/2(-25/3x+1) | | 8=3+4a–3–5a | | 5(1+w)=-10 | | 7k-(k+5)=9-8k | | 32-2x=7x=5 | | 3(4−2x)=6(x−2) | | -35+3r=-3-7(r-4) | | 7w-3=-2w+114 | | (2–7i)(–1+4i)=0 | | 2t^2-3t-10=0 | | 24x+13=-4(7-6x) | | 4(2n+8)=8n+32 | | 180=50+x+30+x | | -26-6x=3(-2x-6) | | 7c=-9+4c | | 188=4(8r-1 | | -26-6x=3x(-2x-6) | | 180=60+x+3+4x-8 | | 3x-8+8-2x=14 | | 2(3x+1)=33 | | 2n+3(1-4n)=83 | | a=-3-2 | | 5b=4+4b | | x2−2x−4=0 | | t^2+24t-240=0 | | x^2−2x−4=0 | | 4+3b=b-2 | | 3x(5)/(6)+3=99 |