Question

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

Answer 1

`Solution,x^2-x-42=0\quad :\quad x=7,\:x=-6`

`Steps:`

`x^2-x-42=0`

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

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

`\mathrm{Hope\:This\:Helps!!!}`

`\mathrm{-Austint1414}`