Sqrt(x^2-2x-24)=x-3

Simple and best practice solution for Sqrt(x^2-2x-24)=x-3 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 Sqrt(x^2-2x-24)=x-3 equation:


Simplifying
Sqrt(x2 + -2x + -24) = x + -3

Reorder the terms:
qrtS(-24 + -2x + x2) = x + -3
(-24 * qrtS + -2x * qrtS + x2 * qrtS) = x + -3
(-24qrtS + -2qrtxS + qrtx2S) = x + -3

Reorder the terms:
-24qrtS + -2qrtxS + qrtx2S = -3 + x

Solving
-24qrtS + -2qrtxS + qrtx2S = -3 + x

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Reorder the terms:
3 + -24qrtS + -2qrtxS + qrtx2S + -1x = -3 + x + 3 + -1x

Reorder the terms:
3 + -24qrtS + -2qrtxS + qrtx2S + -1x = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
3 + -24qrtS + -2qrtxS + qrtx2S + -1x = 0 + x + -1x
3 + -24qrtS + -2qrtxS + qrtx2S + -1x = x + -1x

Combine like terms: x + -1x = 0
3 + -24qrtS + -2qrtxS + qrtx2S + -1x = 0

The solution to this equation could not be determined.

See similar equations:

| -5(y-6)-y=-4(y-2) | | 75b^2-3=0 | | 7a^3+41a^2-56a=0 | | 12n^2-56n+64=0 | | (X+3)10=4(2x+10) | | 10x+24(x-3)=200 | | -2(6y-7)-y=-3(y-5) | | -10a^2+16a=0 | | 3-3(3t-7)=-48 | | 5+8n=2n+5 | | 3m^2+26m+16=0 | | 7+47x-14x^2=0 | | 4(y-5)-3y=-1 | | -4(s+6)= | | n/-8=1.75 | | -6m+21=9m-3 | | -4y+2.2y-2.2y-3.2y-4= | | x^(4/3)-7x^(2/3)-10=0 | | 56/n=4 | | (y/2)-(y/5)=1/4 | | (y/2)-(y-5)=1/4 | | 4x^2+9x^2+-3x^2= | | 15x+24=10x+28+5x | | 64/81= | | [(-24)÷(-3)]÷(-1/2) | | 5y/4/3=y-0.9/0.2 | | 7a(10a-9c)(10a+9c)= | | 6x+6-3(x+1)=8x+6 | | 3+11x=10.26 | | 90-7.32x=46.08 | | h(t)=6t+8 | | (1/4)y-2=(2/3) |

Equations solver categories