b2=6b-2=10

Simple and best practice solution for b2=6b-2=10 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 b2=6b-2=10 equation:



b2=6b-2=10
We move all terms to the left:
b2-(6b-2)=0
We add all the numbers together, and all the variables
b^2-(6b-2)=0
We get rid of parentheses
b^2-6b+2=0
a = 1; b = -6; c = +2;
Δ = b2-4ac
Δ = -62-4·1·2
Δ = 28
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:
$\sqrt{\Delta}=\sqrt{28}=\sqrt{4*7}=\sqrt{4}*\sqrt{7}=2\sqrt{7}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-2\sqrt{7}}{2*1}=\frac{6-2\sqrt{7}}{2} $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+2\sqrt{7}}{2*1}=\frac{6+2\sqrt{7}}{2} $

See similar equations:

| -3(23-z)=51 | | y+3/4=y-4/5+2 | | 20a-40=8a+200 | | F(x)=6-3x/x-4 | | 7x-4=1/2(6x-6+38) | | 35=4y+7 | | 8=-4+2u | | 12x-3(x+4)=105 | | -2=b/3+2 | | 3x/5+1=2x/3-4 | | |11x-40|=6x | | (5y+9)(y-10)=0 | | y+2=3y+1/2 | | y+2=3y+1 | | -3/5(4a+5=7 | | -21x=9+3x | | 4(y+2)=7+5y | | (2x-23)=85 | | 9x-3=-5+7x | | 2+25.5x-4.9x^2=0 | | 9x-3=5+7x | | 15x+24x= | | 1-x=97.5 | | 3+x÷7=4 | | 13x^2-104x=0 | | 13x^2+104x=0 | | q^-1/2=2.5 | | m+6=5m-2 | | 5v-2=v+6 | | 3(c-4)=-5(c+6) | | 5x/(2-3x)=10 | | 5x/2-3x=10 |

Equations solver categories