10w2=7w+6

Simple and best practice solution for 10w2=7w+6 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 10w2=7w+6 equation:



10w^2=7w+6
We move all terms to the left:
10w^2-(7w+6)=0
We get rid of parentheses
10w^2-7w-6=0
a = 10; b = -7; c = -6;
Δ = b2-4ac
Δ = -72-4·10·(-6)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-17}{2*10}=\frac{-10}{20} =-1/2 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+17}{2*10}=\frac{24}{20} =1+1/5 $

See similar equations:

| 2=k/19-4 | | 3.5+j=5 | | 3(q+1)=27 | | 0.5x-1/2=1/2 | | 70=7(r+4) | | 0.5x=1/2=1/2 | | k)2-5=13 | | -6w+-18=42 | | -32+3d=52 | | 8=8(q-92) | | 7+2-5=12x+3x-9x | | 9(u-87)=81 | | 72/x=18 | | 4-5=(-4g+3) | | 2x+3x-4=6x-9x+3 | | -3+6-2j=j-3 | | k-6=2(4+k) | | 6(r+9)=84 | | x-(x*30/100)=70 | | S2.6(5.5p–12.4)=127.92 | | 4=(-7+5d)-7d | | K×3k×6=0 | | 20=x+(-12) | | 3(2x+1)+×=-39 | | -5=(3-2b)+3b | | 0.5(12x+12)=3/4(8x+8) | | 17x-8=25 | | -11k-4=15 | | 5=7/j+24 | | 10x-5+6x+3=7.5x | | 0=-16t^2+30t-4 | | 10c=36-38c-47 |

Equations solver categories