5(2x2-95x+498)=0

Simple and best practice solution for 5(2x2-95x+498)=0 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 5(2x2-95x+498)=0 equation:



5(2x^2-95x+498)=0
We multiply parentheses
10x^2-475x+2490=0
a = 10; b = -475; c = +2490;
Δ = b2-4ac
Δ = -4752-4·10·2490
Δ = 126025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{126025}=355$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-475)-355}{2*10}=\frac{120}{20} =6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-475)+355}{2*10}=\frac{830}{20} =41+1/2 $

See similar equations:

| 3/5x=12/9 | | 7^2+5^2=c^2 | | -1x^2+286x+288=0 | | 7^(x+9)=9x | | (2x-10)=(2x+32) | | 144x+144(x+2)=(x)(x+2) | | 11x-10=8x+3 | | (1/x-1)+5=(21/x-1) | | 8^x-1=2^x+2 | | 16/20=x-3/15 | | 3.125+2t=-0.75 | | x/108=7/18 | | 3y-11=28 | | 10(x-1)=2x-3 | | (x)=–(x+9)(x–21) | | -85=4(2x-5)+5x | | 3.12+2t=-0.75 | | -23=5(6f-2) | | 144x+144(x+2)-(x^2+2x)=0 | | -111=-8(8-5k)-7 | | k−26=70 | | x+7*4=20 | | x-8/6=2/4 | | 5990=-10x2+475x+3500 | | 144x+144(x+2)-x^2+2x=0 | | r−26=70 | | 595990=-10x2+475x+3500 | | 100-y=276 | | y=74+3 | | -5(x=1)+3x=6-(4x-3) | | -29=4(2r-7) | | 5*2x/2=10 |

Equations solver categories