Respuesta :

jay40891

Answer:

[tex]x = -2[/tex]  or  [tex]x = 5[/tex]

Step-by-step explanation:

[tex]x^{2} - 3x = 10[/tex]

[tex]x^{2} -3x -10 = 0[/tex]  [Bring 0 to LHS to make it to a quadratic equation]

[tex](x + 2)(x - 5) = 0[/tex]   [Factorise the equation]

For this expression to be zero, either one of the terms need to be zero. Hence,

[tex]x+ 2 =0[/tex]  or  [tex]x-5=0[/tex]

[tex]x = -2[/tex]  or  [tex]x = 5[/tex]