Which of the following is the solution to the quadratic equation x2 - x - 42 = 0?


a. x = 6, -7


b. x = -6, -7


c. x = -6, 7


d. x = 6, 7

Respuesta :

[tex]Solution,x^2-x-42=0\quad :\quad x=7,\:x=-6[/tex]

[tex]Steps:[/tex]

[tex]x^2-x-42=0[/tex]

[tex]\mathrm{For\:}\quad a=1,\:b=-1,\:c=-42:\quad x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\left(-42\right)}}{2\cdot \:1}, x=\frac{-\left(-1\right)+\sqrt{\left(-1\right)^2-4\cdot \:1\left(-42\right)}}{2\cdot \:1}:\quad 7, x=\frac{-\left(-1\right)-\sqrt{\left(-1\right)^2-4\cdot \:1\left(-42\right)}}{2\cdot \:1}:\quad -6[/tex]

[tex]\mathrm{The\:final\:solutions\:to\:the\:quadratic\:equation\:are:}C.x=7,\:x=-6[/tex]

[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]

[tex]\mathrm{-Austint1414}[/tex]