Question

What are the solutions of x2+6x-6=10

Answer 1

The answer is x= 2, -8

Answer 2

`\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}`

`x=2,\:x=-8`

Explanation:

The given expression is
`x^(2)+6x-6=10`

we need to solve this expression for the value of x

`\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}`

`\mathrm{Solve\:with\:the\:quadratic\:formula}`

`\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}`

`x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)`

`\mathrm{For\:}\quad a=1,\:b=6,\:c=-16:\quad x_(1,\:2)=(-6\pm √(6^2-4\cdot \:1\left(-16\right)))/(2\cdot \:1)`

`x=(-6+√(6^2-4\cdot \:1\left(-16\right)))/(2\cdot \:1):\quad 2`

`x=(-6-√(6^2-4\cdot \:1\left(-16\right)))/(2\cdot \:1):\quad -8`

`\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}`

`x=2,\:x=-8`