x*x+2x-4=0

Simple and best practice solution for x*x+2x-4=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 x*x+2x-4=0 equation:



x*x+2x-4=0
We add all the numbers together, and all the variables
2x+x*x-4=0
Wy multiply elements
x^2+2x-4=0
a = 1; b = 2; c = -4;
Δ = b2-4ac
Δ = 22-4·1·(-4)
Δ = 20
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{20}=\sqrt{4*5}=\sqrt{4}*\sqrt{5}=2\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{5}}{2*1}=\frac{-2-2\sqrt{5}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{5}}{2*1}=\frac{-2+2\sqrt{5}}{2} $

See similar equations:

| /45+135+45+135+3x+x=540 | | x2−3=33 | | f(-3)=5(-3)+1 | | 25x^2+10x10=0 | | -6a+4=34 | | 4x-4=14-x | | 12x=312 | | 7x+7=19+4x | | 2z+8=24 | | 1/2a-12=-11 | | (5x+28)=(3x+10) | | 5x-3x+10=34 | | -12x+25=133 | | 4.6m+8.2=8.8−2.3 | | x^2+11x=7x+21 | | 5k2-2k=0 | | –10x+–2x−2x+–6x=20 | | 6x-12=3(x-3) | | -2s^2+8s+3=0 | | 6(a-2)=-18 | | 91-x=74 | | 6(5x+1)=156 | | 3(4x+7)=−2 | | 7(b+2)=20 | | 6b-8=4b-2 | | 6(5x+9)=84 | | –8r=–9r+6 | | −5r+8−11=−3r+7−7r | | 50=2x+10+3x | | 6x+1=x+10 | | -3q^2+5q+2=0 | | x/5+1=2x/3+12/5 |

Equations solver categories