(x-3)^2/5=4

Simple and best practice solution for (x-3)^2/5=4 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-3)^2/5=4 equation:


x in (-oo:+oo)

((x-3)^2)/5 = 4 // - 4

((x-3)^2)/5-4 = 0

((x-3)^2)/5+(-4*5)/5 = 0

(x-3)^2-4*5 = 0

x^2-6*x-11 = 0

x^2-6*x-11 = 0

x^2-6*x-11 = 0

DELTA = (-6)^2-(-11*1*4)

DELTA = 80

DELTA > 0

x = (80^(1/2)+6)/(1*2) or x = (6-80^(1/2))/(1*2)

x = (4*5^(1/2)+6)/2 or x = (6-4*5^(1/2))/2

(x-((6-4*5^(1/2))/2))*(x-((4*5^(1/2)+6)/2)) = 0

((x-((6-4*5^(1/2))/2))*(x-((4*5^(1/2)+6)/2)))/5 = 0

((x-((6-4*5^(1/2))/2))*(x-((4*5^(1/2)+6)/2)))/5 = 0 // * 5

(x-((6-4*5^(1/2))/2))*(x-((4*5^(1/2)+6)/2)) = 0

( x-((4*5^(1/2)+6)/2) )

x-((4*5^(1/2)+6)/2) = 0 // + (4*5^(1/2)+6)/2

x = (4*5^(1/2)+6)/2

( x-((6-4*5^(1/2))/2) )

x-((6-4*5^(1/2))/2) = 0 // + (6-4*5^(1/2))/2

x = (6-4*5^(1/2))/2

x in { (4*5^(1/2)+6)/2, (6-4*5^(1/2))/2 }

See similar equations:

| -3(7p+3)-2(1-14p)=3(1+2p) | | 5x-3x-7=28 | | 2x+17=2y+10 | | 4(x-12)=5(x-15) | | 4x+14=-12-7x | | 5.4*(x-3)= | | 3(a-4)+5(a-2)=2(a-6)-4(5-a) | | 6(3z+1)-z-22= | | A+(a+1)=96 | | t^2+6t-35=0 | | ax-c=bx+5c | | -12-24d=3(a-15) | | 6x-25=x+34 | | 39=-2x+7x-1 | | 15x^2-17xy-4y^2=0 | | (m+7)*3=(m-3)*4 | | -16+a=-14 | | 3(z-1)-4(5-z)=2(6+z) | | 8x+2=7x(x-4)+5 | | 17+10x=2x+5-4x | | (m+7)*3=(m-3)*5 | | -2x^0= | | 1+4(3-5x)=4x+37 | | 7x=-41 | | -5x-7-x=-19 | | 4x/3-6=14 | | -6-7(k-6)=31-8k | | 4(3-2x)+4x=-4 | | 3(5x-6) | | 4y-4=y-16 | | 3t+1= | | C-7.88=9.25 |

Equations solver categories