1000=15x+x*x

Simple and best practice solution for 1000=15x+x*x 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 1000=15x+x*x equation:



1000=15x+x*x
We move all terms to the left:
1000-(15x+x*x)=0
We add all the numbers together, and all the variables
-(+15x+x*x)+1000=0
We get rid of parentheses
-15x-x*x+1000=0
Wy multiply elements
-1x^2-15x+1000=0
a = -1; b = -15; c = +1000;
Δ = b2-4ac
Δ = -152-4·(-1)·1000
Δ = 4225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4225}=65$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-65}{2*-1}=\frac{-50}{-2} =+25 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+65}{2*-1}=\frac{80}{-2} =-40 $

See similar equations:

| X(1/2)+5=y | | 5+2(l+1)=2l | | s/2+19=13 | | s2+19=13 | | 50c-300=200 | | I3x+18=3 | | 4+x0.80x=12+x0.30x | | 19+a/5=8 | | 4x0.80x=12x0.30x | | 0=-7/8(24x-4)+5(x+2) | | -4x^2-5=11 | | 5x-4=4+2x-1x | | 14x^2-5=11 | | 2x-600=7x-2 | | (7x-44)=(4x+4) | | 5(s-1)=40-10s | | 4k-11=2k+13 | | 3x+6=38+2x+8 | | 1-(3x-4)=(7x+3)/5 | | 4x=7+2x+53=180 | | 5(s-1)=40-10 | | 15=x+(x0.6-4.8) | | (b+6)/(4b^2)+3/(2b^2)=(b+4)/(2b^2) | | 1/3x-1/4x=x-1/6 | | 5r/2–6=19 | | 3y+6=66 | | 2x=30=2x | | 3w•w=27 | | -5+x/5=-7 | | 3s+4=-11 | | -11x+15=-18 | | `-11x+15=-18` |

Equations solver categories