4b2-5=2

Simple and best practice solution for 4b2-5=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 4b2-5=2 equation:



4b^2-5=2
We move all terms to the left:
4b^2-5-(2)=0
We add all the numbers together, and all the variables
4b^2-7=0
a = 4; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·4·(-7)
Δ = 112
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{112}=\sqrt{16*7}=\sqrt{16}*\sqrt{7}=4\sqrt{7}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{7}}{2*4}=\frac{0-4\sqrt{7}}{8} =-\frac{4\sqrt{7}}{8} =-\frac{\sqrt{7}}{2} $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{7}}{2*4}=\frac{0+4\sqrt{7}}{8} =\frac{4\sqrt{7}}{8} =\frac{\sqrt{7}}{2} $

See similar equations:

| 2×-8+3x+2=4x+10+3x-6 | | 1.4x+28=-8.4 | | 7/2x+1/2x=4x+28/2+7/2x | | 1.5x-4.5=-12 | | -8/5=1/3w-5/2 | | 7c2=100 | | 4/5(x)+5=-3 | | (1/4x)+(2/4x)=180 | | 9+2y-4=9y+13-6y | | 53=8+9m2 | | u/6=8/17 | | 8x-(10x-2)=2x+5 | | 4-k2=4 | | 5/x=13/17 | | –5(–5+3x)=84 | | 1+(2x-3)=16 | | 12x+50=20+15x | | -6p-(21)=3p-12 | | 14-x2=17 | | 5y+63=14y | | 15x+12-3x=2x-84+x | | 18x-2=78+28x | | 61-3n2=-14 | | 12-2x+31=0 | | –5(–5+3x)=85 | | 4(3-2x)=68 | | 24=9w-6w | | 5x-43=16x+8 | | 72=u+7u | | (4/5)^n=25/16 | | x-10=-6+4 | | 2-9=8+w |

Equations solver categories