Help Please Solving x + 3?x - 10 = 0 for X

[smaxemow]

Equation: x + 3?x - 10 = 0

 

[Loren]

Re: Help Please Solving for X

x + 3?x - 10 = 0

3?x = 10 - x

Now, square both sides and solve for x. Be sure to check your answers because you may have introduced extraneous roots in the squaring process.

 

[skeeter]

Equation: x + 3?x - 10 = 0

let \(\displaystyle x = t^2\)

\(\displaystyle t^2 + 3t - 10 = 0\)

\(\displaystyle (t + 5)(t - 2) = 0\)

\(\displaystyle t = -5\) , \(\displaystyle x = 25\) ... extraneous solution

\(\displaystyle t = 2\) , \(\displaystyle x = 4\)